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searching for CW complex 13 found (147 total)

alternate case: cW complex

Eilenberg–MacLane space (3,349 words) [view diff] no match in snippet view article find links to article

{\displaystyle K(G,n)} ". Moreover, it is common to assume that this space is a CW-complex (which is always possible via CW approximation). The name is derived from

Finiteness properties of groups (1,032 words) [view diff] no match in snippet view article find links to article

Γ{\displaystyle \Gamma } is said to be of type Fn if there exists an aspherical CW-complex whose fundamental group is isomorphic to Γ{\displaystyle \Gamma } (a classifying

Topological K-theory (1,329 words) [view diff] exact match in snippet view article find links to article

Hirzebruch proved a theorem relating the topological K-theory of a finite CW complex X {\displaystyle X} with its rational cohomology. In particular, they

Novikov conjecture (571 words) [view diff] exact match in snippet view article find links to article

{\displaystyle K(G,1)} , and therefore unique up to homotopy equivalence as a CW complex. Let f : M → B G {\displaystyle f\colon M\rightarrow BG} be a continuous

Stein manifold (1,482 words) [view diff] no match in snippet view article find links to article

manifold of (complex) dimension n has the homotopy type of an n-dimensional CW-complex. In one complex dimension the Stein condition can be simplified: a connected

Universal coefficient theorem (1,181 words) [view diff] exact match in snippet view article find links to article

special case of the theorem is computing integral cohomology. For a finite CW complex X, Hi(X; Z) is finitely generated, and so we have the following decomposition

Cap product (1,314 words) [view diff] no match in snippet view article find links to article

way. Using CW approximation we may assume that X {\displaystyle X} is a CW-complex and C ∙ ( X ) {\displaystyle C_{\bullet }(X)} (and C ∙ ( X ) {\displaystyle

P-compact group (1,248 words) [view diff] no match in snippet view article find links to article

space BG such that the loop space ΩBG is homotopy equivalent to a finite CW-complex. The classification of connected p-compact groups implies a classification

Eilenberg–Maclane spectrum (1,028 words) [view diff] exact match in snippet view article find links to article

E , H Z ] {\displaystyle H^{*}(E)=[E,H\mathbb {Z} ]} Note that for a CW complex X {\displaystyle X} , the cohomology of the suspension spectrum Σ ∞ X

Asymptotic dimension (1,518 words) [view diff] no match in snippet view article find links to article

type (that is with a classifying space of the homotopy type of a finite CW-complex) such that asdim⁡(G)<∞{\displaystyle \operatorname {asdim} (G)<\infty

Farrell–Jones conjecture (2,216 words) [view diff] no match in snippet view article find links to article

G with respect to the family of virtually cyclic subgroups, i.e. a G-CW-complex whose isotropy groups are virtually cyclic and for any virtually cyclic

Iraq and weapons of mass destruction (13,506 words) [view diff] exact match in snippet view article find links to article

shell "probably originated with a batch that was stored in a Al Muthanna CW complex basement during the late 1980s for the purpose of leakage testing." In

Function of several complex variables (17,583 words) [view diff] no match in snippet view article find links to article

manifold of (complex) dimension n has the homotopy type of an n-dimensional CW-Complex. In one complex dimension the Stein condition can be simplified: a connected