Timeline for Is there Jeff Smith's theorem for left semi-model structures?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Jan 14, 2020 at 14:43 | comment | added | David White | I finished the paper, so a reference for the claims in this answer can now be found at arxiv.org/abs/2001.03764 | |
Nov 17, 2019 at 13:07 | vote | accept | Valery Isaev | ||
Nov 17, 2019 at 12:49 | comment | added | David White | @ValeryIsaev: I emailed you, so we don't have to discuss here in the comments. | |
Nov 17, 2019 at 12:41 | history | edited | David White | CC BY-SA 4.0 |
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Nov 17, 2019 at 12:12 | comment | added | Valery Isaev | After some thought, I can solve the second problem I mentioned if the domains of generating cofibrations are cofibrant. Do you know how to do this in general? Also, the first problem is easy to solve. Weak equivalences actually do form an accessible subcategory. The rest of the proof seems to work just fine if we assume that a transfinite composition of pushouts of maps in $\mathrm{cof}(I) \cap \mathcal{W}$ is a weak equivalence as long as it has cofibrant domain. Is this correct? | |
Nov 16, 2019 at 17:41 | comment | added | Valery Isaev | That's good! I actually need this theorem to construct a particular left semi-model category. Could you write down the conditions of the theorem, so I could check that it applies in my case? | |
Nov 16, 2019 at 17:18 | history | answered | David White | CC BY-SA 4.0 |