Abstract
While many different models for (∞, 1)-categories are currently being used, it is known that they are Quillen equivalent to one another. Several higher-order analogues of them are being developed as models for (1, n)-categories. In this paper, we establish model structures for some naturally arising categories of objects which should be thought of as (∞, n)-categories. Furthermore, we establish Quillen equivalences between them.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2163-2202 |
| Number of pages | 40 |
| Journal | Geometry and Topology |
| Volume | 17 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 19 2013 |
Keywords
- (∞, n)-categories
- Enriched categories
- Θn-spaces
ASJC Scopus subject areas
- Geometry and Topology