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Results tagged with at.algebraic-topology
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user 494199
Homotopy theory, homological algebra, algebraic treatments of manifolds.
7
votes
1
answer
752
views
Poincaré duality
Is the next statement true?
Let $M$ be a non-compact linearly connected oriented topological manifold of dimension $n$, and let $M^+$ be the one-point compactification of $M$. Then there is a canonica …
- 191
5
votes
Integer homology of double loop space of odd-dimensional sphere
The next two claims completely describe
$H_*(\Omega^2S^3;\mathbb{Z})$.
This follows from several sources. For example, from already mentioned
in the answer of Nicholas Kuhn book of Joe Neisendorfer.
T …
- 191
3
votes
1
answer
306
views
Homology of braid groups and loop spaces
How do Segal's theorems from (Configuration-spaces and iterated loop-spaces. Invent. Math.21:213--221)
imply that there is an isomorphism $H_*(B_\infty,\mathbb{Z})\cong H_*(\Omega^2S^3,\mathbb{Z})$,
…
- 191
3
votes
1
answer
196
views
Homology of iterated loop spaces on odd--dimensional spheres
For prime $p$ let $E_p[\dots]$ and $P_p[\dots]$ be the external and polynomial $\mathbb{Z}_p$--algebras.
It is known that for $n\geqslant 1$ and odd $p$ where is an isomorphism
of primitively generate …
- 191