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14
votes
The periodic values in Bott periodicity
You might like to look at my thesis, where a lot of this kind of thing is recalled in a consolidated way:
http://neil-strickland.staff.shef.ac.uk/research/thesis.pdf
Some key points:
The homotopy g …
3
votes
Is there a 'natural' projection from $O(n)$ into $S_n$?
Here is a natural map $F\colon O(n)\to S_n$ which does not have the specified properties, because I did not read them correctly at first. Nonetheless, it may be of interest, if only as an example of …