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Results tagged with at.algebraic-topology
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user 17462
Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
3
answers
699
views
Suspension of an excisive pair
Hi,
given a triple of spaces $(X,A,U)$, that is excisive with respect to some homology theory $H$, is the triple $(SX,SA,SU)$ again excisive?
Here SY means unreduced suspension of Y, and there's an …
- 333
12
votes
1
answer
1k
views
Stable normal bundle of a manifold
Hi,
in bordism-theory and many bordering areas one has the following construction: Given a manifold M (say closed for the purposes of this discussion and k-dimensional), we embed it into some $\math …
- 333
3
votes
2
answers
1k
views
Unreduced Suspension Isomorphism
Tending to a lecture on homotopy theory, the following question occured to me (is that a correct sentence?):
Given a pointed space $(X,x)$, is the UNREDUCED suspension map $S:\pi_k(X,x) \rightarrow …
- 333
1
vote
0
answers
685
views
The stable-homotopy-homology-theory
Hi
Is there a way to stabilise relative homotopy groups into giving the stable-homotopy-homology-functor?
The fact that the homotopy excision theorem holds for exactly the same kind of pair that occu …
- 333
13
votes
3
answers
2k
views
Is there a good definition of (topological) K-Theory over arbitrary spaces?
Hi
(this is my very first question here, so please don't hurt me...)
for some time now i've been looking for a sufficiently aesthetical definition of (topological) K-theory of arbitrary spaces, yet …
- 333