Timeline for Find weak equivalences from fibrations and cofibrations
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 23, 2011 at 17:33 | vote | accept | Guillaume Brunerie | ||
| Dec 23, 2011 at 14:00 | history | edited | Jonathan Chiche | CC BY-SA 3.0 |
added 512 characters in body
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| Dec 22, 2011 at 14:59 | comment | added | Jonathan Chiche | Je t'en prie ! (Excuse my French.) I should have made clear that I addressed only the first point (the answer to which is standard), sorry about that. The second one is indeed trickier (see Charles Rezk's answer). | |
| Dec 22, 2011 at 14:28 | comment | added | Chris Schommer-Pries | "is it automatic W satisfies 2 out of 3?", ahh no. You caught me! You need that too. It looks like Rezk's answer has another characterization. | |
| Dec 22, 2011 at 14:15 | comment | added | Guillaume Brunerie | Thanks Jonathan! Chris, is it automatic that this $W$ satisfies 2 out of 3? | |
| Dec 22, 2011 at 14:08 | comment | added | Chris Schommer-Pries | Just to clarify to Jonathan's answer, if there exists such a model structure, then the weak equivalences are exactly those arrows which are composites of an arrow in $C_W$ followed by an arrow in $F_W$. So there is at most one such model structure. Moreover, let this define the class W. Then your factorizations systems give you a model structure precisely if $F_W = W \cap F$ and similarly for $C_W$. | |
| Dec 22, 2011 at 13:48 | history | answered | Jonathan Chiche | CC BY-SA 3.0 |