Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673160 | Indagationes Mathematicae | 2011 | 24 Pages |
Abstract
We introduce the notion of algebraic fibrant objects in a general model category and establish a (combinatorial) model category structure on algebraic fibrant objects. Based on this construction, we propose algebraic Kan complexes as an algebraic model for ∞∞-groupoids and algebraic quasi-categories as an algebraic model for (∞,1)(∞,1)-categories. We furthermore give an explicit proof of the homotopy hypothesis.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Thomas Nikolaus,