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Results tagged with at.algebraic-topology
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user 9189
Homotopy theory, homological algebra, algebraic treatments of manifolds.
22
votes
5
answers
3k
views
Is $L^p(\mathbb{R})$ minus the zero function contractible?
Is $L^p(\mathbb{R}) \setminus 0$ contractible? My intuition says that the answer is yes, but I'm afraid that this is based on thinking of this as somehow similar to a limit of $\mathbb{R}^n \setminus …
- 433
3
votes
Cohomological dimension of a group acting on a cellular complex
If you don't require $X$ to be acyclic, then you can't say anything. Indeed, every group acts freely on its Cayley graph, which is a 1-dimensional cell complex.
You're not even saved by assuming t …
- 433