## Universal homotopy theories

by
Daniel Dugger

Venue: | Adv. Math |

Citations: | 37 - 3 self |

### BibTeX

@ARTICLE{Dugger_universalhomotopy,

author = {Daniel Dugger},

title = {Universal homotopy theories},

journal = {Adv. Math},

year = {},

pages = {144--176}

}

### Years of Citing Articles

### OpenURL

### Abstract

Abstract. 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, to sheaf theory, and to the homotopy theory of schemes. Contents