Raventos, Oriol (2015) THE HAMMOCK LOCALIZATION PRESERVES HOMOTOPIES. HOMOLOGY HOMOTOPY AND APPLICATIONS, 17 (2). pp. 191-204. ISSN 1532-0073, 1532-0081
Full text not available from this repository. (Request a copy)Abstract
The hammock localization provides a model for a homotopy function complex in any Quillen model category. We prove that a homotopy between a pair of morphisms induces a homotopy between the maps induced by taking the hammock localization. We also show that, under Vopenka's principle, every homotopy idempotent functor in a cofibrantly generated model category is determined by simplicial orthogonality with respect to a set of morphisms. Finally, we give a new proof of the fact that left Bousfield localizations with respect to a class of morphisms always exist in any left proper combinatorial model category under Vopenka's principle.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MODEL CATEGORIES; CELLULARIZATION; RESPECT; model category; homotopy function complex; localization; homotopy algebra |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Jul 2019 09:37 |
| Last Modified: | 26 Jul 2019 09:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6148 |
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