Universal Homotopy Theories
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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| Veröffentlicht in: | Advances in mathematics (New York. 1965) 2001-12, Vol.164 (1), p.144-176 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0001-8708 1090-2082 |
| DOI: | 10.1006/aima.2001.2014 |