Abstract
We describe a category, the objects of which may be viewed as models for homotopy theories. We show that for such models, "functors between two homotopy theories form a homotopy theory", or more precisely that the category of such models has a well-behaved internal horn-object.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 973-1007 |
| Number of pages | 35 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 353 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2001 |
| Externally published | Yes |
Keywords
- Closed model categories
- Homotopy theory
- Localization
- Simplicial spaces
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics