Geodesic
The hammock localization preserves homotopies
Homology, homotopy, and applications, Tome 17 (2015) no. 2, pp. 191-204.

Voir la notice de l'article provenant de la source International Press of Boston

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 Vopěnka’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 Vopěnka’s principle.
DOI : 10.4310/HHA.2015.v17.n2.a10
Classification : 18C35, 55P60, 55U35
Keywords: model category, homotopy function complex, localization, homotopy algebra 
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     title = {The hammock localization preserves homotopies},
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     pages = {191--204},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n2.a10/}
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Oriol Raventós. The hammock localization preserves homotopies. Homology, homotopy, and applications, Tome 17 (2015) no. 2, pp. 191-204. doi : 10.4310/HHA.2015.v17.n2.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n2.a10/

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