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Results tagged with at.algebraic-topology
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user 56669
Homotopy theory, homological algebra, algebraic treatments of manifolds.
1
vote
How to determine the homotopy groups of the suspension of a space?
Over some assumptions we have for example $\pi_3 SK(G,1) \cong ker(\kappa)$, where $\kappa : G \otimes G \to G'$ is the commutator homomorphism and the group $G \otimes G$ is the nonnabelian tensor sq …
- 131
2
votes
Noncompact homology spheres?
By a paper of Martio and Ryazanov, every connected, compact and simply connected homology $n$-sphere is homeomorphic to $S^n$, if $ \ n \geqslant 4$. By the affirmative answer to the Poincaré conjectu …
- 131