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considered in the context of Sobolev spaces. The term cocompact embedding is inspired by the notion of cocompact topological space. Let G {\displaystyle G} be
Cocompact_embedding
Topics referred to by the same term
up cocompact in Wiktionary, the free dictionary. Cocompact may refer to: Cocompact group action Cocompact Coxeter group Cocompact embedding Cocompact lattice
Cocompact
Feature of certain mathematical spaces
compact embedding is usually about Banach spaces of functions. Several of the Sobolev embedding theorems are compact embedding theorems. When an embedding is
Compact_embedding
Type of topological group
Euclidean plane. Wallpaper groups are cocompact, but Frieze groups are not. A crystallographic group usually means a cocompact, discrete subgroup of the isometries
Discrete_group
groups. They are not cocompact, and any arithmetic Kleinian group which is not commensurable to a conjugate of a Bianchi group is cocompact. If A {\displaystyle
Arithmetic hyperbolic 3-manifold
Arithmetic_hyperbolic_3-manifold
Manifold that "locally looks like" Euclidean space
According to Kuiper's formulation of the Nash embedding theorem, there is a C 1 {\displaystyle C^{1}} embedding S 1 × S 1 → R 3 {\displaystyle S^{1}\times
Flat_manifold
Vector space of functions in mathematics
that are not compact often have a related, but weaker, property of cocompactness. Sobolev mapping Souček space Besov space Triebel–Lizorkin space Evans
Sobolev_space
American mathematician
plane, admits an embedding into the universal cover of M, which is the hyperbolic 3-space. Cannon and Thurston proved that this embedding extends to a continuous
James_W._Cannon
Concept in number theory
{A} _{L}.\end{aligned}}} Theorem. K {\displaystyle K} is discrete and cocompact in A K . {\displaystyle \mathbb {A} _{K}.} In particular, K {\displaystyle
Adele_ring
A} to be split at exactly one real embedding one asks for F {\displaystyle F} to have exactly one complex embedding up to complex conjugacy, at which A
Arithmetic_Fuchsian_group
Graph drawing used to study Riemann surfaces
must be bipartite. The faces of the embedding are required to be topological disks. The surface and the embedding may be described combinatorially using
Dessin_d'enfant
Type of group in group theory
The theorem is more precise: it says that the arithmetic lattice is cocompact if and only if the "form" of G {\displaystyle G} used to define it (i
Arithmetic_group
Compact Riemann surface of genus 3
especially the one that is a quotient of the hyperbolic plane H2 by a certain cocompact group G that acts freely on H2 by isometries. This gives the Klein quartic
Klein_quartic
Complex-valued smooth functions of the upper half plane (harmonic analysis topic)
compact, the spectral problem simplifies. This is because a discrete cocompact subgroup has no cusps. Here all of the space L 2 ( Γ ∖ H , k ) {\displaystyle
Maass_wave_form
Mathematical measure space associated to a random walk
François (1994). "The Poisson boundary for rank one manifolds and their cocompact lattices". Forum Math. Vol. 6, no. 3. pp. 301–313. MR 1269841. Furstenberg
Poisson_boundary
such hyperbolic extensions of H are described by the theory of "convex cocompact" subgroups of the mapping class group Mod(S). Every subgroup Γ ≤ Mod(S)
Cannon–Thurston_map
Tiling of the hyperbolic plane
by a symmetry of the tiling. More technically, no binary tiling has a cocompact symmetry group. As a tile all of whose tilings are not fully periodic
Binary_tiling
finitely generated group acting isometrically properly discontinuously and cocompactly on a geodetically complete CAT(0) cubical complex X, then either X splits
Acylindrically hyperbolic group
Acylindrically_hyperbolic_group
Mathematics term
states that if a discrete group Γ acts properly discontinuously and cocompactly on a contractible 2-dimensional simplicial complex with the same graph
Kazhdan's_property_(T)
Concept in number theory
v\neq v_{0}} . Theorem. K × {\displaystyle K^{\times }} is discrete and cocompact in I K 1 {\displaystyle I_{K}^{1}} . Proof. Since K × {\displaystyle K^{\times
Idele_group
R ) {\displaystyle \mathrm {PSL} _{2}(\mathbb {R} )} ; They are never cocompact. Veech groups can be either finitely generated or not. A Veech surface
Translation_surface
Transformations induced by a mathematical group
{\displaystyle G} on a locally compact space X {\displaystyle X} is called cocompact if there exists a compact subset A ⊂ X {\displaystyle A\subset X} such
Group_action
Manifold of dimension 3 equipped with a hyperbolic metric
quotient of a closed, convex subset of hyperbolic space by a group acting cocompactly on this subset. This is the larger class of hyperbolic 3-manifolds for
Hyperbolic_3-manifold
Group theory function
of the manifold. If G is a group acting properly discontinuously and cocompactly by isometries on a CAT(0) space, then G satisfies a quadratic isoperimetric
Dehn_function
Partial differential equation
homeomorphic to a fixed quotient of the upper half plane H by a discrete cocompact subgroup Γ of PSL(2,R). Γ can be identified with the fundamental group
Beltrami_equation
Family of infinite discrete groups
and Bert Wiest). Every right-angled Artin–Tits group acts freely and cocompactly on a finite-dimensional CAT(0) cube complex, its "Salvetti complex".
Artin–Tits_group
COCOMPACT EMBEDDING
COCOMPACT EMBEDDING
Girl/Female
Hindu, Indian, Marathi, Tamil
Compact; Promise
Boy/Male
Hindu, Indian
Compact; Firm; Solid
Boy/Male
Hindu
Compact, Massive, Widespread, Great, Large, Mighty, Powerful, Bright, Clear, Name of Vishnu
Surname or Lastname
English
English : habitational name from any of the many places, large and small, called Bradford; in particular the city in West Yorkshire, which originally rose to prosperity as a wool town. There are others in Derbyshire, Devon, Dorset, Greater Manchester, Norfolk, Somerset, and elsewhere. They are all named with Old English brÄd ‘broad’ + ford ‘ford’.This name was brought independently to North American by many different bearers from the 17th century onward. William Bradford (1590–1657), born in Austerfield in South Yorkshire, England, the son of a yeoman farmer, was among the Pilgrim Fathers who emigrated to America on the Mayflower in 1620. He was a signer of the Mayflower Compact and in 1621 he was elected governor of Plymouth colony, being re-elected thirty times.
Boy/Male
Hindu, Indian
Compact; Safe; Secure
Boy/Male
Tamil
Compact, Massive, Widespread, Great, Large, Mighty, Powerful, Bright, Clear, Name of Vishnu
Surname or Lastname
English
English : variant of Allen.German : habitational name from either of two places called Alling, one in Bavaria and one in Austria.Danish : habitational name from any of several places called Alling. The etymology of the place name is uncertain; it may be a derivative of al ‘alder’.Roger Alling signed the New Haven, CT, Compact in 1639.
COCOMPACT EMBEDDING
COCOMPACT EMBEDDING
Girl/Female
German
Ruler of the Home or Estate
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : from the Middle English female personal name Aldus, a pet form of any of the numerous Old English personal names formed with a first element (e)ald ‘old’.Nathan Aldis (originally Aldus) came from eastern England to Dedham, MA, in 1638.
Girl/Female
Hindu, Indian, Traditional
Surrendered
Boy/Male
Hindu, Indian
Destroyer of Dangers
Girl/Female
Arabic, Muslim
Accomplished; Virtuous; A Female Scholar
Girl/Female
Arabic, Indian, Muslim, Tamil
Mother of Jesus Christ; Beloved; Purity
Boy/Male
Hindu, Indian
Goddess Lakshmi
Girl/Female
Indian
The Indepent One; Understanding
Boy/Male
Afghan, Arabic, Muslim
Farsi for Johah
Boy/Male
Tamil
Preethish | பà¯à®°à¯€à®¤à®¿à®·
God of Love, Lord of the world
COCOMPACT EMBEDDING
COCOMPACT EMBEDDING
COCOMPACT EMBEDDING
COCOMPACT EMBEDDING
COCOMPACT EMBEDDING
p. pr. & vb. n.
of Compact
adv.
In a compact manner.
p. p. & a
Brief; close; pithy; not diffuse; not verbose; as, a compact discourse.
v.
An agreement, compact, etc.
v. t.
To thrust, drive, or press closely together; to join firmly; to consolidate; to make close; -- as the parts which compose a body.
p. p. & a
Joined or held together; leagued; confederated.
n.
The act of making compact, or the state of being compact.
a.
Crowded; compact; dense; pressed together.
a.
Condensed; compact; dense.
a.
Half compact; imperfectly indurated.
a.
Collected; compact; close.
n.
An agreement between parties; a covenant or contract.
imp. & p. p.
of Compact
a.
Alt. of Incompacted
p. p. & a
Composed or made; -- with of.
p. p. & a
Closely or firmly united, as the particles of solid bodies; firm; close; solid; dense.
a.
Thick; crowded; compact; dense.
a.
Strong; firm; compact.
v. t.
To compact or join anew.
v. t.
To unite or connect firmly, as in a system.