Timeline for Quillen equivalent module categories
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 23, 2019 at 2:51 | comment | added | Liam Keenan | Thanks very much. I appreciate it. | |
| Jan 23, 2019 at 2:47 | comment | added | Dmitri Pavlov | @LPK: I adjusted the post to reflect the statement that I actually use. | |
| Jan 23, 2019 at 2:47 | history | edited | Dmitri Pavlov | CC BY-SA 4.0 |
added 75 characters in body
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| Jan 22, 2019 at 22:09 | comment | added | Liam Keenan | How is it that tensoring with B preserves monomorphisms? | |
| Jan 15, 2019 at 15:13 | comment | added | Dmitri Pavlov | The intended use of monomorphisms is that monomorphisms in this case are h-cofibrations, which under left properness implies that a cobase change along such a map is also a homotopy cobase change, in particular, it preserves weak equivalences. Thus, in the resulting cube diagram three parallel maps are weak equivalences, hence so is the fourth one. | |
| Jan 15, 2019 at 5:55 | comment | added | Liam Keenan | I don't know how you are using the preservation of monomorphisms. Could you elaborate on this? I have been trying to use the cube diagram obtained from the unit map, along with Hirschorn Prop. 17.9.2, to conclude the original $\eta_{M}$ is a weak equivalence. | |
| Jan 9, 2019 at 20:38 | vote | accept | Liam Keenan | ||
| Jan 9, 2019 at 1:16 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |