Find link

language:

Find link is a tool written by Edward Betts.

searching for Reduced homology 6 found (26 total)

Perfect group (1,365 words) [view diff] no match in snippet view article find links to article

)=H_{2}(G,\mathbb {Z} )=0} . An acyclic group is one all of whose (reduced) homology groups vanish H ~ i ( G ; Z ) = 0. {\displaystyle {\tilde {H}}_{i}(G;\mathbb

Mapping cone (topology) (1,311 words) [view diff] exact match in snippet view article

The mapping cone lets one interpret the homology of a pair as the reduced homology of the quotient. Namely, if E is a homology theory, and i : A → X {\displaystyle

Clique complex (1,643 words) [view diff] exact match in snippet view article find links to article

the 1-skeleton of the t-dimensional octahedral sphere. Then the j-th reduced homology of the clique complex X(G) is trivial for any j between 0 and max (

Simplicial homology (2,171 words) [view diff] exact match in snippet view article find links to article

connectivity of the triangle is 0 (it is the largest k for which the reduced homology groups up to k are trivial). Let S be a tetrahedron (without its interior)

Eilenberg–MacLane space (3,349 words) [view diff] exact match in snippet view article find links to article

the direct limit over these maps, one can verify that this defines a reduced homology theory h q ( X ) = lim → n ⁡ π q + n s ( X ∧ K ( G , n ) ) {\displaystyle

Rainbow-independent set (2,718 words) [view diff] exact match in snippet view article find links to article

a single simplex is k-connected for all integers k, since all its reduced homology groups are trivial (see simplicial homology). Hence the condition holds