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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

5 votes

$\pi_{2n-1}(\operatorname{SO}(2n))$ element represents the tangent bundle $TS^{2n}$, not tor...

For $n=1$, the answer to your question is negative, as explained by Gregory Arone in the comments. In the cases $n\neq 1,2,4$, there is the following easy argument: The long exact sequence of the fib …
archipelago's user avatar
  • 2,974
35 votes
2 answers
5k views

Why should have Peter May worked with CGWH instead of CGH in "The Geometry of Iterated Loop ...

This is a follow-up to Dan Ramras' answer of this question. The following correction can be found in the errata to The Geometry of Iterated Loop space (Page 484 here). The weak Hausdorff rather t …
archipelago's user avatar
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