Left-determined model categories and universal homotopy theories
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- by J. Rosický and W. Tholen PDF
- Trans. Amer. Math. Soc. 355 (2003), 3611-3623 Request permission
Erratum: Trans. Amer. Math. Soc. 360 (2008), 6179-6179.
Abstract:
We say that a model category is left-determined if the weak equivalences are generated (in a sense specified below) by the cofibrations. While the model category of simplicial sets is not left-determined, we show that its non-oriented variant, the category of symmetric simplicial sets (in the sense of Lawvere and Grandis) carries a natural left-determined model category structure. This is used to give another and, as we believe simpler, proof of a recent result of D. Dugger about universal homotopy theories.References
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Additional Information
- J. Rosický
- Affiliation: Department of Mathematics, Masaryk University, 662 95 Brno, Czech Republic
- MR Author ID: 150710
- Email: rosicky@math.muni.cz
- W. Tholen
- Affiliation: Department of Mathematics and Statistics, York University, Toronto M3J 1P3, Canada
- Email: tholen@pascal.math.yorku.ca
- Received by editor(s): June 1, 2002
- Published electronically: May 15, 2003
- Additional Notes: The first author was supported by the Grant Agency of the Czech Republic under Grant 201/99/0310. The hospitality of the York University is gratefully acknowledged.
The second author was supported by the Natural Sciences and Engineering Council of Canada - © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 3611-3623
- MSC (2000): Primary 55U35
- DOI: https://doi.org/10.1090/S0002-9947-03-03322-1
- MathSciNet review: 1990164