Timeline for Model structure on the category of small $A_\infty$ categories, hocolims.
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 22, 2014 at 11:29 | comment | added | Chris Schommer-Pries | Can you give an explicit example of an equalizer that doesn't exist? It seems that the category of $A_\infty$-categories should be essentially algebraic and hence have all limits and colimits? | |
| Apr 16, 2013 at 18:37 | comment | added | Fernando Muro | ... and I don't speak French! | |
| Apr 16, 2013 at 18:37 | comment | added | Fernando Muro | I don't quite agree with you, Bruno. I like that French has survived for mainstream science, unlike the rest of languages except for English. | |
| Apr 14, 2013 at 22:19 | comment | added | Bruno V. | Well "unfortunately" because yasha might not read French but still would like to understand the result. That might take long if he first learn French (which he should fo) and then begin reading Lefevre-Hasegawa thesis. :) | |
| Apr 14, 2013 at 15:53 | comment | added | Fernando Muro | Why unfortunately? | |
| Apr 14, 2013 at 15:37 | comment | added | yasha | Thanks. This is close to what I was expecting, except for quasi-isomorphism vs quasi-equivalence. Which is a little strange since geometrically (in the setup of Fukaya categories) quasi-equivalences are a lot more natural than quasi-isomorphisms. Not having all equalizers does not seem to affect the second half of question, and it seems that the colim functor is indeed homotopical provided we replace quasi-equivalence by quasi-isomorphism in the question. Am I right? | |
| Apr 14, 2013 at 15:26 | vote | accept | yasha | ||
| Apr 14, 2013 at 15:26 | history | bounty ended | yasha | ||
| Apr 14, 2013 at 14:20 | comment | added | David White | This is great! Glad to hear about this work | |
| Apr 14, 2013 at 1:47 | history | answered | Bruno V. | CC BY-SA 3.0 |