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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, ...

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On the equivalence of two definitions of cohomological dimension for locally compact topolog...

.$ One is the usual definition $\textbf{(P)}$ : $X$ is said to have cohomological dimension $n$ if $n$ is the largest integer such that there exists a closed set $A\subset X$ with the relative Čech cohomology … But I can't say that those two cohomology groups are isomorphic when $X$ is locally compact ? …
Rabi Kumar Chakraborty's user avatar