Timeline for How do you show that $S^{\infty}$ is contractible?
Current License: CC BY-SA 3.0
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| Jun 27, 2014 at 0:10 | history | edited | David White | CC BY-SA 3.0 |
Texified because it was on the front page anyway.
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| Oct 11, 2009 at 23:20 | comment | added | Eric Wofsey | Indeed. This follows from the fact that every compact subset is contained in some finite S^n, which then can be contracted in S^{n+1}. This sort of argument is more generally useful to show the contractibility of this sort of infinite-dimensional object when it may be nonobvious how to write down a contraction explicitly. | |
| Oct 11, 2009 at 22:54 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |