Geodesic
Simplicial approximation
Theory and applications of categories, Tome 12 (2004), pp. 34-72.

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

This paper displays an approach to the construction of the homotopy theory of simplicial sets and the corresponding equivalence with the homotopy theory of topological spaces which is based on simplicial approximation techniques. The required simplicial approximation results for simplicial sets and their proofs are given in full. Subdivision behaves like a covering in the context of the techniques displayed here.
Classification : 55U10, 18G30, 55U35
Keywords: simplicial sets, simplicial approximation, model structures 
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     author = {J.F. Jardine},
     title = {Simplicial approximation},
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     pages = {34--72},
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     volume = {12},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2004_12_a1/}
}
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J.F. Jardine. Simplicial approximation. Theory and applications of categories, Tome 12 (2004), pp. 34-72. http://geodesic.mathdoc.fr/item/TAC_2004_12_a1/