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Results tagged with cohomology
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user 5937
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, ...
8
votes
Accepted
The relation between group cohomology and the cohomology of the classifying space
Yes, there is a relation between these cohomology groups. … cohomology of topological groups" [http://projecteuclid.org/euclid.bams/1183532101]. …
- 12.8k
7
votes
Accepted
Continuous and smooth Lie groupoid cohomology
The cohomology of the continuous cochains is equal to the cohomology of the smooth cochains. Moreover, there is yet another complex $C^n_{ec}$ of cochains that are continuous around $\Delta^{(n)}$. … A reference for the equality of smooth and continuous cohomology is Hochschild, Mostow, "Cohomology of Lie groups" and for the more general case this paper, together with F. Wagemann. …
- 1,040