Combinatorial model categories have presentations (2001)
by
Daniel Dugger
| Venue: | Adv. in Math. 164 |
| Citations: | 43 - 8 self |
BibTeX
@INPROCEEDINGS{Dugger01combinatorialmodel,
author = {Daniel Dugger},
title = {Combinatorial model categories have presentations},
booktitle = {Adv. in Math. 164},
year = {2001}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
Abstract. We show that every combinatorial model category is Quillen equivalent to a localization of a diagram category (where ‘diagram category’ means diagrams of simplicial sets). This says that every combinatorial model
Citations
| 279 | Homotopical Algebra - Quillen - 1967 |
| 260 | Homotopy limits, completions and localizations - Bousfield, Kan - 1987 |
| 182 | Model categories - Hovey - 1999 |
| 173 | Jirí Rosicky, Locally Presentable and Accessible Categories - Adamek - 1994 |
| 57 | Accessible categories: The foundations of categorical model theory - Makkai, Paré - 1989 |
| 31 | Model categories and more general abstract homotopy theory, Book in preparation, available at http://www-math.mit.edu/ ∼psh - Dwyer, Hirschhorn, et al. |
| 27 | Universal homotopy theories - Dugger |
| 27 | Localization of Model Categories - Hirschhorn - 1998 |
| 14 | Handbook of categorical algebra II, Categories and structures - Borceux - 1994 |
| 14 | Homotopy theories - Heller - 1988 |
| 4 | Replacing model categories by simplicial ones - Dugger |
| 1 | Combinatorial model categories. To exist - Smith |
