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that the higher direct images of a constructible sheaf are constructible. Here we use the definition of constructible étale sheaves from the book by Freitag
Constructible_sheaf
Tool in algebraic topology
sheaf cohomology is the application of homological algebra to analyze the global sections of a sheaf on a topological space. Broadly speaking, sheaf cohomology
Sheaf_cohomology
Tool to track locally defined data attached to the open sets of a topological space
number of authors). Coherent sheaf Gerbe Stack (mathematics) Sheaf of spectra Perverse sheaf Presheaf of spaces Constructible sheaf De Rham's theorem Eisenbud
Sheaf_(mathematics)
Theorem in algebraic geometry
cohomology lie not in a field but instead in a constructible sheaf. They prove that for a constructible sheaf F {\displaystyle {\mathcal {F}}} on an affine
Lefschetz_hyperplane_theorem
Topics referred to by the same term
polygon that can be constructed with compass and straightedge Constructible sheaf, a certain kind of sheaf of abelian groups Constructible set (topology),
Constructibility
Type of topological space
Thom–Mather stratified space. On a stratified space, a constructible sheaf can be defined as a sheaf that is locally constant on each stratum. Among the
Stratified_space
Chevalley's theorem in algebraic geometry shows that the image of a constructible set is constructible for an important class of mappings (more specifically morphisms)
Constructible_set_(topology)
Sheaf cohomology on the étale site
constant sheaves are constructible, and constructible sheaves are torsion. Every torsion sheaf is a filtered inductive limit of constructible sheaves. In applications
Étale_cohomology
Sheaf theory
{F}}|_{U}} is a constant sheaf on U. It is also called a local system. When X is a stratified space, a constructible sheaf is roughly a sheaf that is locally constant
Locally_constant_sheaf
An ℓ-adic sheaf { F n } ≥ 0 {\displaystyle \{F_{n}\}_{\geq 0}} is said to be constructible if each F n {\displaystyle F_{n}} is constructible. lisse if
ℓ-adic_sheaf
A torsion sheaf on an étale site is the union of its constructible subsheaves. Twisted sheaf Milne 2012, Remark 17.6 Milne, James S. (2012). "Lectures
Torsion_sheaf
Locally constant sheaf of abelian groups on topological space
generalization to constructible sheaves -- a constructible sheaf on a locally path connected topological space X {\displaystyle X} is a sheaf L {\displaystyle
Local_system
Projective analogue of the spectrum of a ring
likewise indispensable. We also construct a sheaf on Proj S {\displaystyle \operatorname {Proj} S} , called the “structure sheaf” as in the affine case, which
Proj_construction
extension by zero is also exact. Borel–Moore homology Poincaré duality Constructible sheaf Derived category Iversen, Birger (1986), Cohomology of sheaves, Universitext
Cohomology with compact support
Cohomology_with_compact_support
Objects of certain abelian categories associated to topological spaces
certain formal properties. A perverse sheaf is an object C of the bounded derived category of sheaves with constructible cohomology on a space X such that
Perverse_sheaf
7.2) extended the formula to constructible sheaves over a curve (Raynaud 1965). Suppose that F is a constructible sheaf over a genus g smooth projective
Grothendieck–Ogg–Shafarevich formula
Grothendieck–Ogg–Shafarevich_formula
Type of Grothendieck topology on the category of schemes
constant sheaves are constructible, and constructible sheaves are torsion. Every torsion sheaf is a filtered inductive limit of constructible sheaves. Grothendieck
Étale_topology
Concept from algebraic geometry
In algebraic geometry, the dualizing sheaf on a proper scheme X of dimension n over a field k is a coherent sheaf ω X {\displaystyle \omega _{X}} together
Dualizing_sheaf
On generating functions from counting points on algebraic varieties over finite fields
show that various L-series do not have zeros with real part 1. A constructible sheaf on a variety over a finite field is called pure of weight β if for
Weil_conjectures
Homological construction in category theory
-modules is an abelian category with enough injectives, and we can again construct sheaf cohomology as the right derived functors of the global section functor
Derived_functor
Japanese mathematician
Takeshi (2014). "Characteristic cycle and the Euler number of a constructible sheaf on a surface". arXiv:1402.5720 [math.AG]. Kato, Kazuya; Kurokawa
Takeshi_Saito_(mathematician)
Generalization of vector bundles
Coherent sheaf cohomology is a powerful technique, in particular for studying the sections of a given coherent sheaf. A quasi-coherent sheaf on a ringed
Coherent_sheaf
geometry, given a morphism f: X → S of schemes, the cotangent sheaf on X is the sheaf of O X {\displaystyle {\mathcal {O}}_{X}} -modules Ω X / S {\displaystyle
Cotangent_sheaf
Relate the direct image and the pull-back of sheaves
a separably closed field and F {\displaystyle {\mathcal {F}}} a constructible sheaf on X et {\displaystyle X_{\text{et}}} . Then H r ( X , F ) {\displaystyle
Base_change_theorems
Expresses the number of points of a variety over a finite field
dimension n, and F {\displaystyle {\mathcal {F}}} a constructible Q l {\displaystyle \mathbb {Q} _{l}} -sheaf on X. Then the following cohomological expression
Grothendieck_trace_formula
Mathematical object in sheaf cohomology
abelian groups are used to construct the resolutions needed to define sheaf cohomology (and other derived functors, such as sheaf Ext). There is a further
Injective_sheaf
geometry, a quasi-coherent sheaf on an algebraic stack X {\displaystyle {\mathfrak {X}}} is a generalization of a quasi-coherent sheaf on a scheme. The most
Sheaf_on_an_algebraic_stack
Theorem on constructible abelian sheaves over the spectrum of a ring of algebraic numbers
of integers in a totally imaginary number field K, and F a constructible étale abelian sheaf on X. Then the Yoneda pairing H r ( X , F ) × Ext 3 − r
Artin–Verdier_duality
Duality for sheaves of k-modules over a locally compact space
presence of singularities. It is commonly encountered when studying constructible or perverse sheaves. Verdier duality states that (subject to suitable
Verdier_duality
Manifold upon which it is possible to perform calculus
charts and atlases). Third, the sheaf OM is not manifestly a sheaf of functions at all. Rather, it emerges as a sheaf of functions as a consequence of
Differentiable_manifold
River in South Yorkshire, England
The River Sheaf in Sheffield, South Yorkshire, England, flows northwards, past Dore, through Abbeydale and north of Heeley. It then passes into a culvert
River_Sheaf
Mathematical structure
comes from. The classical definition of a sheaf begins with a topological space X {\displaystyle X} . A sheaf associates information to the open sets of
Grothendieck_topology
Generalisation of a sheaf; a fibered category that admits effective descent
In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets. Stacks are used to formalise some of
Stack_(mathematics)
Module over a sheaf of differential operators
Kashiwara constructibility theorem and Kashiwara index theorem of Masaki Kashiwara. The methods of D-module theory have always been drawn from sheaf theory
D-module
Correspondsnce between Higgs bundles and fundamental group representations
and the structure sheaf O X {\displaystyle {\mathcal {O}}_{X}} of holomorphic functions on X {\displaystyle X} . When constructing sheaf cohomology, the
Nonabelian Hodge correspondence
Nonabelian_Hodge_correspondence
Algebraic structure used in topology
Alexander–Spanier cohomology or sheaf cohomology). (Here sheaf cohomology is considered only with coefficients in a constant sheaf.) These theories give different
Cohomology
Vector bundle existing over a Grassmannian
bundles are constructed both in algebraic topology and in algebraic geometry. In algebraic geometry, the tautological line bundle (as invertible sheaf) is O
Tautological_bundle
Differential form in commutative algebra
subscheme V, then the cotangent sheaf restricts to a sheaf on U which is similarly universal. It is therefore the sheaf associated to the module of Kähler
Kähler_differential
Suburb of Greater London, England
2022. Sheaf 2015, pp. 80–86, 100–108. Sheaf & Howe 1995, pp. 91–93. Heath 2000, pp. 9–10. Orton 1965, pp. 48–49, 63. Sheaf 1997, pp. 12–13. Sheaf 2015
Hampton,_London
Extension of the domain of an analytic function (mathematics)
points, and its investigation was a major reason for the development of sheaf cohomology. Suppose f is an analytic function defined on a non-empty open
Analytic_continuation
Axiom specifying the requisites of a sheaf on a topological space
In mathematics, the gluing axiom is introduced to define what a sheaf F {\displaystyle {\mathcal {F}}} on a topological space X {\displaystyle X} must
Gluing_axiom
Mathematical group occurring in algebraic geometry and the theory of complex manifolds
complex manifolds. Alternatively, the Picard group can be defined as the sheaf cohomology group H 1 ( X , O X ∗ ) . {\displaystyle H^{1}(X,{\mathcal {O}}_{X}^{*})
Picard_group
{\displaystyle IC_{p}(X)} is the intersection complex, a certain complex of constructible sheaves on X (considered as an element of the derived category, so the
Intersection_homology
Ancient Lombardic king in English legend
placed a sheaf (sceaf) of wheat on a round shield (scyld) and a wax candle upon the sheaf which they lit. They then floated the shield with sheaf and candle
Sceafa
Silent pornographic film genre
276, 2001. Waugh, Thomas. pp. 277, 2001. Waugh, Thomas. pp. 278, 2001. Sheaffer, Russell (October 2014). "Smut, novelty, indecency: reworking a history
Stag_film
Set of a ring's prime ideals
{\displaystyle X=\operatorname {Spec} (R)} with the Zariski topology, the structure sheaf O X {\displaystyle {\mathcal {O}}_{X}} can be thought of informally as a
Spectrum_of_a_ring
Concept in algebraic geometry
property. In particular, given a fixed coherent sheaf F {\displaystyle {\mathcal {F}}} and a sub-coherent sheaf F ′ {\displaystyle {\mathcal {F}}'} , showing
Noetherian_scheme
Concept in algebraic geometry
p : E → Y {\displaystyle p\colon E\to Y} (or more generally a coherent sheaf on Y {\displaystyle Y} ) has a pullback to X {\displaystyle X} , f ∗ E =
Ample_line_bundle
Algebraic tool for computing topological spaces' invariants
theory to another is the representing spectrum. From the point of view of sheaf cohomology, the Mayer–Vietoris sequence is related to Čech cohomology. Specifically
Mayer–Vietoris_sequence
Complex vector bundle on a complex manifold
sections form a sheaf on X. This sheaf is sometimes denoted O ( E ) {\displaystyle {\mathcal {O}}(E)} , or abusively by E. Such a sheaf is always locally
Holomorphic_vector_bundle
Scheme theory concept
then Z is a locally closed pro-constructible subset of Y if and only if f−1(Z) is a locally closed pro-constructible subset of X. If f is flat and locally
Flat_morphism
Concept in mathematics
} {\displaystyle Y=\lbrace p\rbrace } is a point, then the ideal sheaf is the sheaf of smooth germs vanishing at p {\displaystyle p} and the isomorphism
Normal_bundle
Generalization of algebraic variety
quasi-coherent sheaf on a scheme X means an OX-module that is the sheaf associated to a module on each affine open subset of X. Finally, a coherent sheaf (on a
Scheme_(mathematics)
Concept in algebraic geometry
{\displaystyle V} . It may equally well be considered as an invertible sheaf. The canonical class is the divisor class of a Cartier divisor K {\displaystyle
Canonical_bundle
Type of mathematical functions
translated this notion into the notion of the coherent (sheaf) (Especially, coherent analytic sheaf) in sheaf cohomology. This name comes from H. Cartan. Also
Function of several complex variables
Function_of_several_complex_variables
ring. The spectrum of topological modular forms is constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized)
Topological_modular_forms
Objects extending the notion of functions
D(R) (functions of vanishing moments up to order q). If (E,P) is a (pre-)sheaf of semi normed algebras on some topological space X, then Gs(E, P) will
Generalized_function
Scheme in algebraic geometry
X / Y {\displaystyle C_{X/Y}} of an embedding i: X → Y, defined by some sheaf of ideals I, is defined as the relative Spec Spec X ( ⨁ n = 0 ∞ I n /
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Mathematical theory
( Y ) {\displaystyle {\mathcal {F}}\in \operatorname {Sh} _{k}(Y)} is a sheaf of k {\displaystyle k} -vector spaces we have the following isomorphism
Alexander_duality
Mathematical category
the role of a point in topos theory. Indeed, a set may be thought of as a sheaf on a point since functors on the singleton category with a single object
Topos
isogeny class as its dual. An explicit isogeny can be constructed by use of an invertible sheaf L on A (i.e. in this case a holomorphic line bundle),
Dual_abelian_variety
Construct in mathematics
"Gerbe" is a French (and archaic English) word that literally means "wheat sheaf." A gerbe on a topological space S {\displaystyle S} is a stack X {\displaystyle
Gerbe
Open space in Sheffield, England
Sheaf Square is a municipal square lying immediately east of the city centre of Sheffield, England. The sides of the square are lined with major buildings:
Sheaf_Square
Short exact sequence of sheaves on projective space
the sheaf of relative differentials is stably isomorphic to an ( n + 1 ) {\displaystyle (n+1)} -fold sum of the dual of the Serre twisting sheaf. The
Euler_sequence
Sheaf theory concept
resolution of a sheaf is a construction in homological algebra that allows one to view global, cohomological information about the sheaf in terms of local
Godement_resolution
scheme. F(n), F(D) 1. If X is a projective scheme with Serre's twisting sheaf O X ( 1 ) {\displaystyle {\mathcal {O}}_{X}(1)} and if F is an O X {\displaystyle
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Branch of mathematics
non-discreteness (e.g., Tor) of the structure sheaf. Grothendieck's scheme theory allows the structure sheaf to carry nilpotent elements. Derived algebraic
Derived_algebraic_geometry
the notion of smoothness from calculus. Instead it is built using sheaf theory and sheaf cohomology. Abstract harmonic analysis A modern branch of harmonic
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Concept in mathematics
field analogue of complex multiplication theory. A shtuka (also called F-sheaf or chtouca) is a sort of generalization of a Drinfeld module, consisting
Drinfeld_module
Relation between genus, degree, and dimension of function spaces over surfaces
equations, and the GAGA principle says that sheaf cohomology of an algebraic variety is the same as the sheaf cohomology of the analytic variety defined
Riemann–Roch_theorem
Mathematical parametrization of vector spaces by another space
OX denotes the structure sheaf of continuous real-valued functions on X, then F becomes a sheaf of OX-modules. Not every sheaf of OX-modules arises in
Vector_bundle
Formal semantics for non-classical logic systems
of a sheaf was a kind of logic of the 'possible'. Though this development was the work of a number of people, the name Kripke–Joyal or simple sheaf semantics
Kripke_semantics
Generalization of algebraic spaces or schemes
{\displaystyle (F/S)} . The structure sheaf of an algebraic stack is an object pulled back from a universal structure sheaf O {\displaystyle {\mathcal {O}}}
Algebraic_stack
Tool in homological algebra
introduced the notion of a sheaf and found himself faced with the problem of computing sheaf cohomology. To compute sheaf cohomology, Leray introduced
Spectral_sequence
Mathematical concept
D-module ( M , F ∙ ) {\displaystyle (M,F^{\bullet })} together with a perverse sheaf F {\displaystyle {\mathcal {F}}} such that the functor from the Riemann–Hilbert
Mixed_Hodge_module
Concept in mathematics
coordinate ring or more abstractly the ring of global sections of the structure sheaf) is a fundamental object in affine algebraic geometry. The only regular
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Equivalence class of objects sharing local properties at a point in a topological space
meaning. The name is derived from cereal germ in a continuation of the sheaf metaphor, as a germ is (locally) the "heart" of a function, as it is for
Germ_(mathematics)
Context dependence in quantum measurements
developed to study and better understand contextuality, from the perspective of sheaf theory, graph theory, hypergraphs, algebraic topology, and probabilistic
Quantum_contextuality
Technique in mathematical group theory
Borel–Weil–Bott construction of representations of algebraic groups using coherent sheaf cohomology is also similar. For real semisimple groups there is an analogue
Deligne–Lusztig_theory
English actor and filmmaker (1889–1977)
Friedrich, p. 393. Louvish, p. 135. Chaplin, pp. 423–444; Robinson, p. 670. Sheaffer, pp. 623, 658. Chaplin, pp. 423, 477. Robinson, p. 519. Robinson, pp. 671–675
Charlie_Chaplin
Mathematical condition
it implies that the de Rham complex yields a resolution of the constant sheaf R M {\displaystyle \mathbb {R} _{M}} on M. The singular cohomology of a
Poincaré_lemma
Mathematical functions which are smooth but not analytic
geometry and analytic geometry. In terms of sheaf theory, this difference can be stated as follows: the sheaf of differentiable functions on a differentiable
Non-analytic_smooth_function
City in South Yorkshire, England
its four tributaries: the Loxley, the Porter Brook, the Rivelin and the Sheaf. Sixty-one per cent of Sheffield's entire area is green space and a third
Sheffield
Neumann axioms Fundamental axiom of analysis (real analysis) Gluing axiom (sheaf theory) Haag–Kastler axioms (quantum field theory) Huzita's axioms (origami)
List_of_axioms
Algebraic variety defined within an affine space
in more technical terms (see § Structure sheaf), it is the space of global sections of the structure sheaf of X. The dimension of a variety is an integer
Affine_variety
Meromorphic differential form
codimension-1 complex submanifolds that intersect transversely. In this case, the sheaf of logarithmic differential forms is the subalgebra of j ∗ ( Ω X − D ∙ )
Logarithmic_form
River in Sheffield, South Yorkshire, England
Burbage Moor to the west of the city to its mouth where it joins the River Sheaf in a culvert beneath Sheffield railway station. Like the other rivers in
Porter_Brook
Vector bundle of cotangent spaces at every point in a manifold
smooth manifolds, such as complex manifolds, or (in the form of cotangent sheaf) algebraic varieties or schemes. In the smooth case, any Riemannian metric
Cotangent_bundle
Flour dust explosion in a Minneapolis mill in 1878
lists the names of the deceased, while the base of the memorial depicts a sheaf of wheat, a broken gear, and a millstone. Tradeston Flour Mills explosion
Great_Mill_Disaster
Branch of mathematics
differential structure of smooth manifolds via de Rham cohomology, or Čech or sheaf cohomology to investigate the solvability of differential equations defined
Algebraic_topology
Pseudonym used by the poet and writer Philip Larkin
Canning in The Independent found the Willow Gables fiction vibrant, well-constructed and entertaining, and praised Larkin's "sly Sapphic spin". In a more
Brunette_Coleman
Alleged alien abduction in 1961
expert Robert Sheaffer writes that the Hills are the "poster children" for not driving when sleep deprived. In the Skeptical Inquirer, Sheaffer also wrote:
Barney and Betty Hill incident
Barney_and_Betty_Hill_incident
Supergeometric generalization of a manifold
formulation, a smooth supermanifold is a locally ringed space whose structure sheaf is locally isomorphic to the tensor product of the ring of ordinary smooth
Supermanifold
Topological space that locally resembles Euclidean space
fixed dimension. Sheaf-theoretically, a manifold is a locally ringed space, whose structure sheaf is locally isomorphic to the sheaf of continuous (or
Manifold
connected open subset of C {\displaystyle \mathbb {C} } ). analytic sheaf analytic sheaf archimedean The archimedean property of real numbers says: given
Glossary of real and complex analysis
Glossary_of_real_and_complex_analysis
U.S. Air Force facility in southern Nevada
Dreamland, Transmedia and Dandelion Production for Sky Television (1996). Sheaffer, Robert (November–December 2004). "Tunguska 1, Roswell 0". Skeptical Inquirer
Area_51
Mathematical operation
a morphism from the sheaf of smooth functions on N {\displaystyle N} to the direct image by ϕ {\displaystyle \phi } of the sheaf of smooth functions on
Pullback (differential geometry)
Pullback_(differential_geometry)
Topological invariant in mathematics
characteristic used in algebraic geometry is as follows. For any coherent sheaf F {\displaystyle {\mathcal {F}}} on a proper scheme X, one defines its Euler
Euler_characteristic
Mathematical concept
at a prime ideal, determines a sheaf of local rings on Proj S. The space Proj S, together with its topology and sheaf of local rings, is a scheme. The
Complex_projective_space
Generalisations of Serre duality in mathematics
classical algebraic geometry. This was re-expressed, with the advent of sheaf theory, in a way that made an analogy with Poincaré duality more apparent
Coherent_duality
CONSTRUCTIBLE SHEAF
CONSTRUCTIBLE SHEAF
Boy/Male
Arabic, Australian, Biblical, Christian, French, Hebrew, Jewish
Sheaf of Corn; King of Israel; Servant of Jehovah; My Sheaf
Boy/Male
Afghan, African, American, Arabic, Finnish, French, German, Gujarati, Hebrew, Hindu, Indian, Iranian, Jewish, Kannada, Lebanese, Malaysian, Marathi, Muslim, Oriya, Parsi, Pashtun, Sindhi, Swedish, Tamil, Telugu
Rich; Leader; From Kikuyu; Wealthy; Ruler; King; Emir; Treetop; Sheaf; Prince Ruler; Mighty; Strong; Prosperous; Proclaimed; Commander
Female
Hebrew
(×וּמָרִית) Hebrew name UMARIT means "sheaf."
Surname or Lastname
English
English : habitational name from the city in South Yorkshire, so called from the river name Sheaf (from Old English scēað ‘boundary’) + Old English feld ‘pasture’, ‘open country’. There are also minor places of the same name in Sussex (from Old English scēap, scīp ‘sheep’ + feld) and Berkshire (from Old English scēo ‘shelter’, ‘shed’ + feld), which may have contributed to the surname.
Biblical
roundness of a sheaf
Surname or Lastname
English (Kent)
English (Kent) : from Middle English shefe ‘sheaf’, ‘bundle’ (Old English scēaf), hence possibly a metonymic occupational name for a harvest worker, or for someone who paid or collected tithes, from the same term in the sense ‘tenth’ (or other proportion of produce paid as a tithe).Jacob Sheafe (d. 1658) was one of the founds of Boston MA. He is buried in the King’s Chapel Burying Ground there.
Girl/Female
Biblical
Roundness of a sheaf.
Biblical
sheaf of corn
Boy/Male
Biblical
Sheaf of corn.
Male
Hebrew
(עׄמֶר) Hebrew name derived from the word omer, OMER means "sheaf." In the bible, this is "a measure" of dry things, containing the tenth part of an Ephah.
CONSTRUCTIBLE SHEAF
CONSTRUCTIBLE SHEAF
Girl/Female
Bengali, Hindu, Indian, Kannada, Marathi, Telugu
End
Girl/Female
Indian, Punjabi, Sikh
Guru's Fortune
Girl/Female
Muslim
Gold
Girl/Female
Muslim
Successful
Girl/Female
Hindu, Indian, Marathi
Young; Wind
Girl/Female
American, Anglo, Australian, British, Chinese, Christian, Danish, Dutch, English, Greek, Hebrew, Jamaican, Spanish, Swedish
Waterfall; Pretty; A Cascade; Lake; Pool; Pond
Girl/Female
African, American, Christian, Danish, French, Hawaiian, Hebrew, Indian
French
Boy/Male
Bengali, Indian
Awesome
Male
Spanish
Spanish form of Latin Hasdrubal, ASDRUBAL means "help of Ba'al."
Boy/Male
Greek
Wise counselor.
CONSTRUCTIBLE SHEAF
CONSTRUCTIBLE SHEAF
CONSTRUCTIBLE SHEAF
CONSTRUCTIBLE SHEAF
CONSTRUCTIBLE SHEAF
a.
According to interpretation; constructive.
n.
The constructive metabolism of the body, as distinguished from katabolism.
a.
Having ability to construct or form; employed in construction; as, to exhibit constructive power.
a.
Pertaining to, or consisting of, a sheaf or sheaves; resembling a sheaf.
n.
Capability of being contracted; quality of being contractible; as, the contractibility and dilatability of air.
v. t.
To gather and bind into a sheaf; to make into sheaves; as, to sheaf wheat.
n.
One of a series of substances formed, in secreting cells, by constructive or anabolic processes, in the production of protoplasm; -- opposed to katastate.
a.
Building up; constructive; -- opposed to destructive.
a.
Capable of expansion; that may be dilated; -- opposed to contractible; as, the lungs are dilatable by the force of air; air is dilatable by heat.
n.
The act or process, by which living tissues or cells take up and convert into their own proper substance the nutritive material brought to them by the blood, or by which they transform their cell protoplasm into simpler substances, which are fitted either for excretion or for some special purpose, as in the manufacture of the digestive ferments. Hence, metabolism may be either constructive (anabolism), or destructive (katabolism).
a.
Constructive.
v. i.
To collect and bind cut grain, or the like; to make sheaves.
adv.
In a constructive manner; by construction or inference.
a.
Derived from, or depending on, construction or interpretation; not directly expressed, but inferred.
v. t.
To gather and bind into a sheaf or sheaves; hence, to collect.
a.
Pertaining to anabolism; an anabolic changes, or processes, more or less constructive in their nature.
a.
Pertaining to a master builder, or to architecture; evincing skill in designing or construction; constructive.
a.
Capable of being instructed; teachable; docible.
a.
Capable of being extended, whether in length or breadth; susceptible of enlargement; extensible; extendible; -- the opposite of contractible or compressible.
a.
Capable of contraction.