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Results tagged with cech-cohomology
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user 118688
4
votes
Outline of the proof that Cech cohomology and singular cohomology coincide on any locally co...
I think looking at Bredon's Sheaf theory book (page $179$ chapter $3$) would be helpful.
It defines singular cohomology of a topological space $X$ with coefficients from a sheaf of abelian groups $ …
- 6,023
11
votes
3
answers
3k
views
Outline of the proof that Cech cohomology and singular cohomology coincide on any locally co...
If $X$ is paracompact and locally contractible, then singular cohomology and Cech cohomology of $X$ coincide, with coefficients in any abelian group.
I hear that this is a classical result but I …
- 6,023
1
vote
Why the third stage of Cech nerve a Lie 2-groupoid?
This is not an answer, just too long for a comment (could be slightly misleading). This is precisely what Dimitri Pavlov has mentioned in his comment.
In general, the description of $2$-category $\mat …
- 6,023