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Results tagged with at.algebraic-topology
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user 43639
Homotopy theory, homological algebra, algebraic treatments of manifolds.
6
votes
1
answer
493
views
Do topological spaces form a full subcategory of spectra?
Let $\Sigma^\infty: Top_* \to Spectra$ be a functor sending a pointed topological space $X$ to its suspension spectrum, that is $(\Sigma^\infty X)_n=\Sigma^nX$ with isomorphisms $\Sigma(\Sigma^\infty …
- 1,980
5
votes
0
answers
143
views
Geometrical meaning of Atiyah-Bredon exact sequence in equivariant cohomology
Let a torus $T=(\mathbb C^*)^n$ act on a topological space $X$, and denote by $X_i$ the union of orbits of dimension $i$ and smaller. Suppose that the equivariant cohomology $H^*_T(X)$ are a free modu …
- 1,980
13
votes
0
answers
286
views
Actions of $\mathbb Z/2\mathbb Z$ on algebraically closed fields and even-dimensional sphere...
It is well known that there is a parallel between Galois theory and covering theory. So I wonder whether there is a deep similarity between the following two facts:
Artin-Schreier theorem. The only n …
- 1,980
6
votes
2
answers
569
views
Is there an analogue of CW-complexes built from $K(\mathbb Z, n)$ instead of $S^n$?
The question is motivated by Eckmann-Hilton duality and certain flaws of the homotopy category of CW-complexes. Unfortunately, I do not know the formalism of model categories, so excuse me if it is a …
- 1,980