Timeline for Almost free actions on simply-connected spaces
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 22, 2017 at 21:33 | comment | added | HJRW | @JensReinhold, since your comment seems to answer the question, why don't you post it as an answer? | |
| Feb 22, 2017 at 8:59 | history | edited | Oscar Randal-Williams | CC BY-SA 3.0 |
added 52 characters in body
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| Feb 21, 2017 at 20:59 | comment | added | Oscar Randal-Williams | I suppose that is right. I had mistakenly thought that because G is simply-connected that 2-cells and higher did not matter for the fundamental group , but of course the trivial group shows this is not the case... | |
| Feb 21, 2017 at 20:19 | comment | added | Jens Reinhold | I am skeptical about this argument. Why can we assume that there are only G-cells of dimension $\leq 1$? Actually, why can't we start with $G/(\mathbb Z/k)$ for $k$ arbitrarily large (that is the unique 0-cell) and attach a 2-cell $G \times D^2$ via a map that equivariantly extends a generator $S^1 \to G/(\mathbb Z/k)$ of the fundamental group $\pi_1(G/(\mathbb Z/k)) = \mathbb Z/k$? This example should answer my question in the negative. | |
| Feb 21, 2017 at 16:55 | vote | accept | Jens Reinhold | ||
| Feb 21, 2017 at 17:32 | |||||
| Feb 20, 2017 at 20:10 | history | answered | Oscar Randal-Williams | CC BY-SA 3.0 |