Timeline for Homotopy equivalence from contractibility of fiber
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| S Oct 23, 2017 at 18:54 | history | suggested | Kyle Miller | CC BY-SA 3.0 |
title spelling
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| Oct 23, 2017 at 18:29 | review | Suggested edits | |||
| S Oct 23, 2017 at 18:54 | |||||
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 7, 2013 at 15:20 | comment | added | ThiKu | In many cases f happens to be a quasifibration and then contractibility of the fiber implies f is a weak homotopy equivalence. Conditions under which f is a quasifibration are to be found in Dold-Thom "Quasifaserungen und Symmetrische Produkte". | |
| Apr 4, 2013 at 3:42 | vote | accept | Cusp | ||
| Apr 4, 2013 at 3:42 | vote | accept | Cusp | ||
| Apr 4, 2013 at 3:42 | |||||
| Apr 3, 2013 at 21:10 | answer | added | Andy Putman | timeline score: 12 | |
| Apr 3, 2013 at 20:48 | comment | added | Ronnie Brown | @Anton: A discrete topological space can be made (easily) into a CW-complex, with only $0$-cells. So maybe one wants to add to the question that $f$ is cellular, so that the two CW-structures have some relationship via $f$. Is the Leray spectral sequence relevant? I need to look it up! | |
| Apr 3, 2013 at 19:02 | comment | added | Oscar Randal-Williams | Let $Y=[0,1]$, $X=[0,1]^\delta$, the same set with the discrete topology, and $f$ be the identity function. This data satisfies the hypotheses, but is not a homotopy equivalence. | |
| Apr 3, 2013 at 18:44 | history | asked | Cusp | CC BY-SA 3.0 |