We collect in one place a variety of known and folklore results in enriched model category
theory and add a few new twists. The central theme is a general procedure for constructing a …

We collect in one place a variety of known and folklore results in enriched model category
theory and add a few new twists. The central theme is a general procedure for constructing a …

We define the notion of an additive model category, and we prove that any additive, stable,
combinatorial model category has a natural enrichment over symmetric spectra based on …

Replacing Model Categories with Simplicial Ones Page 1 TRANSACTIONS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 353, Number 12, Pages 5003-5027 S 0002-9947(01)02661-7 …

In a previous work, we have introduced a weakening of Quillen model categories called
weak model categories. They still allow all the usual constructions of model category theory …

Quillen model categories Page 1 J. K-Theory 11 (2013), 469–478 doi:10.1017/is011012012jkt208
©2012 ISOPP Quillen model categories by MARK HOVEY Abstract We provide a brief …

We prove that every stable, presentable model category can be enriched in a natural way
over symmetric spectra. As a consequence of the general theory, every object in such a …

Quillen equivalences induce equivalences of homotopy theories and therefore form a
natural choice for the" weak equivalences" between model categories. In [21], Hovey asked …

In this article we study the problem of extracting an∞-category from a relative category. We
introduce partial model categories, which are relative categories that satisfy mild versions of …

I introduce two closed model categories of (∞, n)-precategories in which the fibrant objects
are precisely the (∞, n)-categories. The first of these is generalized from Rezk's theory of …