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Results tagged with at.algebraic-topology
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user 404
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
How to demonstrate $SO(3)$ is not simply connected?
You have two different proofs (a.k.a. the cup proof and the belt proof) right here
http://www.youtube.com/watch?v=CYBqIRM8GiY
There are several different demonstrations of the second one (Harrison …
- 4,394
9
votes
Computing fundamental groups and singular cohomology of projective varieties
The trick I know (learned it from Ron Livne) is to project it to some space with known homotopy / homology, throw away the ramification and branch loci to get a covering map (and you better pray it's …
- 4,394
9
votes
Etale cohomology -- Why study it?
One of the annoying aspects with sheaf cohomology in algebraic geometry is that - even for curves over the complex numbers - the cohomological dimensions are not what you want them to be, if you are u …
- 4,394
11
votes
Any shortcuts to understanding the properties of the Riemannian manifolds which are used in ...
There's a short book by Milnor: "Topology from a differentiable viewpoint" (here is one link https://math.uchicago.edu/~may/REU2017/MilnorDiff.pdf where you can find it).
- 4,394