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Universal Homotopy Theories

✍ Scribed by Daniel Dugger

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 207 KB
Volume: 164
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.2001.2014

No coin nor oath required. For personal study only.

✦ Synopsis

Begin with a small category C. The goal of this short note is to point out that there is such a thing as a ''universal model category built from C.'' We describe applications of this to the study of homotopy colimits, the Dwyer-Kan theory of framings, sheaf theory, and the homotopy theory of schemes.

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