Timeline for Model category of cofibrant topological spaces
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2016 at 1:06 | comment | added | Dylan Wilson | A related theorem due to Cole is the "mixed model structure" which is a model structure on spaces with the usual weak equivalences, Hurewicz fibrations, and the cofibrant objects are those spaces having the homotopy type of a CW complex. | |
| Mar 7, 2016 at 17:04 | comment | added | Zhen Lin | Are the morphisms the same? | |
| Mar 7, 2016 at 14:32 | comment | added | David White | At one point in grad school I made a list of the answers to as many of Hovey's open problems as possible. As far as I know, this question has not been answered in the generality Hovey wanted. However, if you are content to work with Delta-generated spaces then a beautiful result of Ching and Riehl lets you restrict to the "algebraically cofibrant objects" and proves that it's a Quillen equivalent model. So there is a model category of spaces (but a severe subclass of spaces) where all objects are cofibrant and the weak equivalences are the usual ones. See arxiv.org/abs/1403.5303 | |
| Mar 7, 2016 at 12:44 | history | asked | Philippe Gaucher | CC BY-SA 3.0 |