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On Combinatorial Model Categories

✍ Scribed by J. Rosický

Publisher
Springer
Year
2008
Tongue
English
Weight
367 KB
Volume
17
Category
Article
ISSN
0927-2852

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📜 SIMILAR VOLUMES

Combinatorial Model Categories Have Pres
Combinatorial Model Categories Have Presentations
✍ Daniel Dugger 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 180 KB

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.''

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✍ Tibor Beke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 152 KB

If a Quillen model category is deÿned via a suitable right adjoint over a sheaÿÿable homotopy model category (in the sense of part I of this paper), it is sheaÿÿable as well; that is, it gives rise to a functor from the category of topoi and geometric morphisms to Quillen model categories and Quille