Coalgebraic models for combinatorial model categories
Amherst College Digital Collections > The Octagon
| Creator | Ching, Michael (Michael Comyn) (Department of Mathematics and Statistics, Amherst College) |
|---|---|
| Creator | Riehl, Emily (Department of Mathematics, Harvard University) |
| Title | Coalgebraic models for combinatorial model categories |
| Abstract | We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular, it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant. |
| Journal Title | Homology, Homotopy and Applications |
| Publication Date | September 2, 2014 |
| Identifier (DOI) | 10.4310/HHA.2014.v16.n2.a9 |
| Citation | Ching, Michael, and Emily Riehl. “Coalgebraic Models for Combinatorial Model Categories.” Homology, Homotopy and Applications 16.2 (2014): 171-184. |
| Languages | English |
| Genre | Article |
| Subject | Algebraic topology |
| Subject | Categories (Mathematics) |
| Part of | The Amherst College Octagon |
| Repository | The Amherst College Octagon |
| Access and Use | Creative Commons Attribution-NonCommercial-NoDerivatives license (CC BY NC ND 4.0) |