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Results tagged with at.algebraic-topology
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user 1384
Homotopy theory, homological algebra, algebraic treatments of manifolds.
53
votes
6
answers
8k
views
Why is the standard definition of cocycle the one that _always_ comes up??
This question might not have a good answer. It was something that occurred to me yesterday when I found myself in a pub, needing to do an explicit calculation with 2-cocycles but with no references ha …
- 41.4k
124
votes
Accepted
Etale cohomology -- Why study it?
$\DeclareMathOperator{\gal}{Gal}$
Here's a comment which one can make to differential geometers which at least explains what etale cohomology "does". Given an algebraic variety over the reals, say a s …
- 41.4k