Combinatorial Model Categories Have Presentations

✍ Scribed by Daniel Dugger

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 180 KB
• Volume: 164
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.2001.2015

✦ Synopsis

We show that every combinatorial model category is Quillen equivalent to a localization of a diagram category (where ''diagram category'' means diagrams of simplicial sets). This says that every combinatorial model category can be built from a category of ''generators'' and a set of ''relations.''