Timeline for In what generality does the following statement hold: A fibration is acyclic if and only if all fibres are contractible fibrant objects.
Current License: CC BY-SA 2.5
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| Sep 14, 2010 at 13:36 | comment | added | Tom Goodwillie | Or you could just ask: in a model category when is the following true of some class $S$ of objects? A fibration $X\to Y$ must be a weak equivalence if for every $s\in S$ the resulting morphism $s\times_Y X\to s$ is a weak equivalence. In this form it has nothing to do with monoidal structure or with $s$ being equivalent to the final object. | |
| Sep 14, 2010 at 6:55 | vote | accept | Harry Gindi | ||
| Sep 14, 2010 at 6:44 | answer | added | Mike Shulman | timeline score: 3 | |
| Sep 14, 2010 at 6:29 | comment | added | Martin Brandenburg | In which general situation do you want to apply this result? | |
| Sep 14, 2010 at 1:50 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Sep 14, 2010 at 1:36 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Sep 14, 2010 at 1:29 | history | asked | Harry Gindi | CC BY-SA 2.5 |