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Results tagged with cohomology
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user 128371
A branch of algebraic topology concerning the study of cocycles and coboundaries. It is in some sense a dual theory to homology theory. This tag can be further specialized by using it in conjunction with the tags group-cohomology, etale-cohomology, sheaf-cohomology, galois-cohomology, lie-algebra-cohomology, motivic-cohomology, equivariant-cohomology, ...
3
votes
3
answers
347
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Homologically trivial fibre
Let us consider a homotopy fibre sequence of connected spaces $A\rightarrow B\rightarrow C$
and let $K$ be a fixed field. Assume that the homology $H_{\ast}(A, K)$ is trivial and that $C$ is a nilpote …
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