Geodesic
The accessibility rank of weak equivalences
Theory and applications of categories, Tome 30 (2015), pp. 687-703.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible.
Publié le :
Classification : 55U35, 18C35
Keywords: model category, weak equivalence, accessible category 
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     author = {G. Raptis and J. Rosick\'y},
     title = {The accessibility rank of weak equivalences},
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     volume = {30},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a18/}
}
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G. Raptis; J. Rosický. The accessibility rank of weak equivalences. Theory and applications of categories, Tome 30 (2015), pp. 687-703. http://geodesic.mathdoc.fr/item/TAC_2015_30_a18/