Geodesic
The accessibility rank of weak equivalences
Theory and applications of categories, Tome 30 (2015), pp. 687-703 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

Voir la notice de l'article

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 
@article{TAC_2015_30_a18,
     author = {G. Raptis and J. Rosick\'y},
     title = {The accessibility rank of weak equivalences},
     journal = {Theory and applications of categories},
     pages = {687--703},
     year = {2015},
     volume = {30},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a18/}
}
TY  - JOUR
AU  - G. Raptis
AU  - J. Rosický
TI  - The accessibility rank of weak equivalences
JO  - Theory and applications of categories
PY  - 2015
SP  - 687
EP  - 703
VL  - 30
UR  - http://geodesic.mathdoc.fr/item/TAC_2015_30_a18/
LA  - en
ID  - TAC_2015_30_a18
ER  - 
%0 Journal Article
%A G. Raptis
%A J. Rosický
%T The accessibility rank of weak equivalences
%J Theory and applications of categories
%D 2015
%P 687-703
%V 30
%U http://geodesic.mathdoc.fr/item/TAC_2015_30_a18/
%G en
%F TAC_2015_30_a18
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/