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) |
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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