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Any topological 3-manifold has unique PL and smooth structures
In geometric topology, a branch of mathematics, Moise's theorem, proved by Edwin E. Moise in Moise (1952), states that any topological 3-manifold has an
Moise's_theorem
Mathematical space
begin with the purely topological: In geometric topology, Moise's theorem, proved by Edwin E. Moise in, states that any topological 3-manifold has an essentially
3-manifold
American mathematician (1918–1998)
Study during which he proved Moise's theorem that every 3-manifold can be triangulated in an essentially unique way. Moïse joined the School Mathematics
Edwin_E._Moise
Relationship between derivatives and integrals
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at every
Fundamental theorem of calculus
Fundamental_theorem_of_calculus
bottle Mapping class group Dehn twist Nielsen–Thurston classification Moise's Theorem (see also Hauptvermutung) Poincaré conjecture Thurston elliptization
List of geometric topology topics
List_of_geometric_topology_topics
Extends the Jordan curve theorem to characterize the inner and outer regions
the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies. For Jordan curves
Schoenflies_problem
Smooth manifold that is homeomorphic but not diffeomorphic to a sphere
dimension 3, Edwin E. Moise proved that every topological manifold has an essentially unique smooth structure (see Moise's theorem), so the monoid of smooth
Exotic_sphere
Angle formed in the interior of a circle
angle intercepting the same arc. Note that this theorem is not to be confused with the angle bisector theorem, which also involves angle bisection (but of
Inscribed_angle
American mathematician
side-approximation theorem was considered by Bing to be one of his key discoveries. It has many applications, including a simplified proof of Moise's theorem, which
R._H._Bing
Mathematics timeline
2018. Gallier, Jean; Xu, Dianna (2013). A Guide to the Classification Theorem for Compact Surfaces. Springer Science & Business Media. p. 156. ISBN 9783642343643
Timeline_of_manifolds
In mathematics, on the region between two well-behaved spheres
Sn−1×[0,1]. The annulus theorem is trivial in dimensions 0 and 1. It was proved in dimension 2 by Radó (1924), in dimension 3 by Moise (1952), in dimension
Annulus_theorem
Theorem in geometric topology
conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about the characterization of the 3-sphere (the hypersphere that bounds
Poincaré_conjecture
Geometry theorem relating to triangles
textbooks, the theorem and its converse are written as the SAS Inequality Theorem and the SSS Inequality Theorem respectively. Moise, Edwin; Downs, Jr
Hinge_theorem
Proposition in mathematics that is unproven
conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history
Conjecture
Mathematical model of the physical space
intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. One of those is the parallel postulate which relates to parallel
Euclidean_geometry
Geometric theorem
theorem. Foundations of geometry Jordan curve theorem Greenberg 1974, p. 69 Kay 1993, p. 122 Blau 2003, p. 135 Moise 1974, p. 70 Blau, Harvey I. (2003), Foundations
Crossbar_theorem
Pathological embedding of the sphere in 3D space
connected, unlike the exterior of the usual round sphere. The Schoenflies theorem in 2D states that any simple closed curve in the plane can be extended
Alexander_horned_sphere
Multivariate derivative (mathematics)
endpoints of the path, and can be evaluated by the gradient theorem (the fundamental theorem of calculus for line integrals). Conversely, a (continuous)
Gradient
Mathematics award
first-ever IMU silver plaque in recognition of his proof of Fermat's Last Theorem. Don Zagier referred to the plaque as a "quantized Fields Medal". Accounts
Fields_Medal
Number
Kaplan 2000, p. 68–75. Roy, Rahul (January 2003). "Babylonian Pythagoras' Theorem, the Early History of Zero and a Polemic on the Study of the History of
0
Number constructible via compass and straightedge
zero as a constructible number, as a special case. Moise (1974), p. 227; Martin (1998), p. 33, Theorem 2.4. Martin (1998), pp. 36–37. Roman (1995), p. 207
Constructible_number
Type of mathematical set
possible f-vectors of simplicial complexes is given by the Kruskal–Katona theorem. By using the f-vector of a simplicial d-complex Δ as coefficients of a
Simplicial_complex
French mathematician (1915–2002)
Laurent-Moïse Schwartz (French: [lɔʁɑ̃ mɔiz ʃvaʁts]; 5 March 1915 – 4 July 2002) was a French mathematician who received the Fields Medal in 1950 for
Laurent_Schwartz
Type of mathematical expression
Taylor's theorem, which roughly states that every differentiable function locally looks like a polynomial function, and the Stone–Weierstrass theorem, which
Polynomial
Computer hardware technology that uses quantum mechanics
be replaced with a finite gate set by appealing to the Solovay-Kitaev theorem. Implementation of Boolean functions using the few-qubit quantum gates
Quantum_computing
Mathematical structure
257–270. doi:10.1007/BF02565940. Moise, Edwin E. (1952). "Affine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung". Annals of
Differential_structure
Statement in plane geometry
geometry, using different sets of axioms, Pasch's axiom can be proved as a theorem; it is a consequence of the plane separation axiom when that is taken as
Pasch's_axiom
Apparent lack of pattern or predictability in events
Carbonell-Bejerano, Pablo; Becker, Claude; Lensink, Mariele; Exposito-Alonso, Moises; Klein, Marie; Hildebrandt, Julia; Neumann, Manuela; Kliebenstein, Daniel;
Randomness
Carbonell-Bejerano, Pablo; Becker, Claude; Lensink, Mariele; Exposito-Alonso, Moises; Klein, Marie; Hildebrandt, Julia; Neumann, Manuela; Kliebenstein, Daniel;
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
to Merge, Creating Fertilizer Giant". Bloomberg News. 12 September 2016. Moise, Pamela Barbaglia (27 July 2019). "London Stock Exchange in talks to buy
List of largest mergers and acquisitions
List_of_largest_mergers_and_acquisitions
Decomposition of a compact oriented 3-manifold by dividing it into two handlebodies
{\displaystyle \beta } intersect exactly once. It follows from Waldhausen's Theorem that every reducible splitting of an irreducible manifold is stabilized
Heegaard_splitting
Size of a two-dimensional surface
and b is the number of boundary points. This result is known as Pick's theorem. The area between a positive-valued curve and the horizontal axis, measured
Area
geometry Pythagoras (c. 570 BC – c. 495 BC) – Euclidean geometry, Pythagorean theorem Zeno of Elea (c. 490 BC – c. 430 BC) – Euclidean geometry Hippocrates of
List_of_geometers
Pensiun, Petualangan Sherina, The Night Comes for Us), brainstem stroke. Moisés Fontela, 87, Argentine engineer and politician, deputy (1989–1993) and mayor
Deaths_in_December_2025
Nonprofit theoretical research institute in Santa Fe, New Mexico, USA
edu. Santa Fe Institute. Retrieved December 31, 2012. Velasquez-Manoff, Moises (July 20, 2007). "Linguists seek a time when we spoke as one". USA Today
Santa_Fe_Institute
combined Triangulation Depends on dimension. In dimension 3, a theorem by Edwin E. Moise gives that every 3-manifold has a unique triangulation, unique
Manifold_decomposition
Mixed animated and live-action television series
advertising meeting. The pilot featured guest stars Bud Cort, Baron Vaughn, and Moises Arias. The series is produced by Williams Street. Dream Corp LLC was ordered
Dream_Corp_LLC
Rigid pendulum
Explanation" (PDF). p. 8. Retrieved September 1, 2020. Quintanilla, José; Perez, Moises; Balderas, Rodolfo; González, Alejandro; Cardenas, Antonio; Maya, Mauro;
Kapitza's_pendulum
Figure formed by two rays meeting at a common point
refers to the sharing of a vertex, rather than an up-down orientation. A theorem states that vertical angles are always congruent or equal to each other
Angle
Representation of mathematical space
ISBN 978-3-662-54963-6, retrieved 2022-04-20 Edwin E. Moise (1952), "Affine Structures in 3-Manifolds: V. The Triangulation Theorem and Hauptvermutung", The Annals of Mathematics
Triangulation_(topology)
Refuted conjecture of geometric topology
2 (1): 96–114. JFM 51.0273.01. Moise, Edwin E. (1952). "Affine structures in 3-manifolds. V. The triangulation theorem and Hauptvermutung". Annals of
Hauptvermutung
American mathematician
topology. The Moore plane, Moore's road space, Moore space, Moore's quotient theorem [ru] and the normal Moore space conjecture are named in his honor. Robert
Robert_Lee_Moore
classical music composer Kenneth Appel - mathematician, proved four color theorem Boris Aronov - computer scientist (computational geometry) Inge Auerbacher
List_of_Queens_College_people
Drift towards authoritarianism
2021. Retrieved 15 May 2020. Sosa-Villagarcia, Paolo; Incio, José; Arce, Moisés (April 2025). "The Rise of Legislative Authoritarianism". Journal of Democracy
Democratic_backsliding
Straw, The Last Man on Earth, Sandokan Against the Leopard of Sarawak). Moisés Canelo, 74, Honduran singer-songwriter, stroke. Tommy Cash, 84, American
Deaths_in_September_2024
Inquiries far outside of mainstream science
model, for a flat disc world, centred on the North pole. Out of India theorem - asserts Indo-European languages evolved in India, and spread to Europe
Fringe_science
Poetic form, traditionally fourteen specifically rhymed lines
(London 1823), vol. 2, p. 13. "Portuguese Literature", Britannica online] Moisés, Massaud (1997). A literatura portuguesa (in Brazilian Portuguese). Editora
Sonnet
Study of geometries as axiomatic systems
obvious (with the possible exception of the parallel postulate) that any theorem proved from them was deemed true in an absolute, often metaphysical, sense
Foundations_of_geometry
Season of television series
Theorem Proof While in High School". lsu.edu. Ne'Kiya Jackson; Calcea Johnson (October 20, 2024). "Five or Ten New Proofs of the Pythagorean Theorem"
60_Minutes_season_56
Vegas; host HGTV's House Hunters David Walton (2001) – actor, About a Boy Moisés Zamora (A.B. 2000) – creator, Selena: The Series Ayad Akhtar (A.B. 1993)
List of Brown University alumni
List_of_Brown_University_alumni
Event that is both extremely large in effect and of unique origins
L.; Iarosz, Kelly C.; Batista, Antonio M.; Szezech Jr, José D.; Santos, Moises S. (1 May 2019). "Dragon-kings death in nonlinear wave interactions". Physica
Dragon_king_theory
of Chicago; fellow of American Mathematical Society; proved ZJ theorem and Z* theorem Jay Greene POLY Chief engineer of NASA Johnson Space Center Peter
List of New York University alumni
List_of_New_York_University_alumni
Japan, 2023) Wake Up (RKSS, France, 2023) You Are Not Me (Marisa Crespo & Moisés Romera, Spain, 2023) The Deep Dark (Mathieu Turi, France, 2023) Salem (Jean-Bernard
List of Fantastic Fest editions
List_of_Fantastic_Fest_editions
Italian mathematician, known for the topology of hyperspaces and Betti's theorem JPL · 17076 17077 Pampaloni 1999 HY2 Carlo Pampaloni (born 1958), Italian
Meanings of minor-planet names: 17001–18000
Meanings_of_minor-planet_names:_17001–18000
Mayor of Plano, Texas (2000-2002). Robert Arevalo, 85, Filipino actor (The Moises Padilla Story, Only the Brave Know Hell, Fuchsia), complications from Parkinson's
Deaths_in_August_2023
Reason for honor Denomination Obverse or reverse In circulation since Samora Moisés Machel 1933–1986 Military commander, revolutionary, socialist leader and
List_of_people_on_banknotes
Italian film festival in 2013
L'intrepido by Gianni Amelio Gravity by Alfonso Cuarón Special mention: The Zero Theorem by Terry Gilliam Philomena by Stephen Frears L'intrepido by Gianni Amelio
70th Venice International Film Festival
70th_Venice_International_Film_Festival
Month of 1963
convolution theorem, the Titchmarsh theorem on Hilbert transform, the Titchmarsh–Kodaira formula on differential equations, and the Brun–Titchmarsh theorem. Hugh
January_1963
Series of mathematics textbooks
Gruenberg, A. J. Weir (1977, 2nd ed., ISBN 978-0-387-90227-2) Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory, Harold M. Edwards (2000
Graduate_Texts_in_Mathematics
German author and poet (Der Untergang der Titanic, The Number Devil). Moisés Fuentes, 37, Mexican boxer, WBO mini flyweight champion (2011–2013), complications
Deaths_in_November_2022
Hugo F. Sonnenschein, 80, American economist (Sonnenschein–Mantel–Debreu theorem). Sugiharto, 66, Indonesian politician, minister of state owned enterprises
Deaths_in_July_2021
Russian mathematician
theory. He is well known for his decidability results, Cobham–Semenov Theorem, symbolic dynamics applications, and lattices of definability descriptions
Alexei Semenov (mathematician)
Alexei_Semenov_(mathematician)
II1-factors, derivations on operator algebras and the Stone-Weierstrass theorem for operator algebras Goro Shimura Princeton University Medicine and Health
List of Guggenheim Fellowships awarded in 1970
List_of_Guggenheim_Fellowships_awarded_in_1970
Joachim Lambek, 91, German-born Canadian mathematician (Lambek–Moser theorem). Marilyn Fisher Lundy, 89, American businesswoman and philanthropist.
Deaths_in_June_2014
Month of 1962
Poussin, 95, Belgian mathematician known for proving the prime number theorem The United Kingdom designated all land south of 60°S latitude and between
March_1962
MOISES THEOREM
MOISES THEOREM
Male
English
Anglicized form of Greek Ioses, JOSES means "exalted." In the bible, this is the name of a brother of Jesus.
Male
English
Anglicized form of Hebrew Moshe and Greek Mouses, MOSES means "drawn out." In the bible, this is the name of the leader who brought the Israelites out of bondage and led them to the promised land.Â
Male
Yiddish
Yiddish form of Hebrew Moshe, MOISHE means "drawn out."
Boy/Male
Spanish American
from the water'.
Male
Greek
(Μωσῆς) Greek form of Hebrew Moshe, MOYSES means "drawn out." In the bible, this is the name of the leader who brought the Israelites out of bondage and led them to the promised land.Â
Boy/Male
Biblical American Egyptian Hebrew
Taken out, drawn forth'.
Male
Spanish
Spanish form of Latin Ulixes, probably ULISES means "to be angry, to hate."
Boy/Male
American, Australian, French, Hebrew, Latin, Polish, Spanish
Drawn out of the Water; Spanish Form of Moses from the Water
Female
English
Variant spelling of English Joyce, JOISSE means "lady."
Male
English
Short form of English Moses, MOSE means "drawn out."
Surname or Lastname
English
English : from a vernacular form of the personal name Moses.
Male
Welsh
Welsh form of Hebrew Moshe and Greek Mouses, MOESEN means "drawn out."
Boy/Male
American, Australian, Christian, Finnish, Hebrew
Saviour; Taken from Water; Moses; Saved from the Water; Drawn out
Male
English
Middle English form of French Moisé, MOISE means "drawn out."
Boy/Male
American, Australian, British, Chinese, Christian, Danish, English, Finnish, German, Greek, Hawaiian, Hebrew, Irish, Portuguese, Swedish
Drawn out of the Water; Saved; Child; Taken from Water; Saviour; Drawn out
Male
Greek
Variant spelling of Greek Moyses, MOUSES means "drawn out." In the bible, this is the name of the leader who brought the Israelites out of bondage and led them to the promised land.Â
Surname or Lastname
Jewish
Jewish : variant of Moses.English (Devon and Norfolk) and French : from a medieval variant of the personal name Moses (Middle English Moise, Old French Moïse).
Male
English
Patronymic form of English Mile, MILES means "son of Mile."
Male
French
Old French form of Hebrew Moshe, MOISÉ means "drawn out."
Boy/Male
Armenian, Australian
Moses
MOISES THEOREM
MOISES THEOREM
Girl/Female
Latin
Possibly a17th-century names Aureola and Aureole which were derived from the Latin aureolus...
Boy/Male
Hindu
Pure
Girl/Female
African, Australian, Jamaican
She Takes After her Mother; Handsome; Good Looking
Girl/Female
German
Armed Warrior Woman
Boy/Male
Spanish Latin
Affectionate.
Boy/Male
Anglo Saxon
Wretched.
Girl/Female
Native American
Child of importance.
Girl/Female
Tamil
Gourangi | கௌராஂகீ
Giver of happiness, One name of radhas name, Lord krishnas beloved, Fair complexioned
Surname or Lastname
English
English : unexplained. Compare Henthorn.
Girl/Female
Arabic, Australian, German, Kurdish, Muslim, Turkish
Proud; Haughty; Vain
MOISES THEOREM
MOISES THEOREM
MOISES THEOREM
MOISES THEOREM
MOISES THEOREM
v. t.
To moisten.
a.
Being before the time of Moses.
n. pl.
The catamenial or menstrual discharge, a periodic flow of blood or bloody fluid from the uterus or female generative organs.
n.
The calyptra of mosses.
n.
A large flatboat, used in the West Indies for taking freight from shore to ship.
n.
Any one of numerous species of small rodents belonging to the genus Mus and various related genera of the family Muridae. The common house mouse (Mus musculus) is found in nearly all countries. The American white-footed, or deer, mouse (Hesperomys leucopus) sometimes lives in houses. See Dormouse, Meadow mouse, under Meadow, and Harvest mouse, under Harvest.
n. pl.
An old name for mosses in the widest sense, including the true mosses and also hepaticae and sphagna.
n.
The rule or practices of bosses, esp. political bosses.
n.
The theca of mosses.
p. pr. & vb. n.
of Moisten
a.
The menses.
imp. & p. p.
of Moisten
n.
The menses.
pl.
of House
n.
A bog; a morass; a place containing peat; as, the mosses of the Scottish border.
imp. & p. p.
of Noise
n.
One of the buds of mosses.
n.
The menses.
a.
Not according to Moses; unlike Moses or his works.