Geodesic
On modified Reedy and modified projective model structures
Theory and applications of categories, Tome 24 (2010), pp. 179-208

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

Variations on the notions of Reedy model structures and projective model structures on categories of diagrams in a model category are introduced. These allow one to choose only a subset of the entries when defining weak equivalences, or to use different model categories at different entries of the diagrams. As a result, a bisimplicial model category that can be used to recover the algebraic K-theory for any Waldhausen subcategory of a model category is produced.

Classification : Primary: 55U35, Secondary: 19D10
Keywords: Diagram category, Quillen model category, Reedy model category, algebraic K-theory 
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     author = {Mark W. Johnson},
     title = {On modified {Reedy} and modified projective model structures},
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     volume = {24},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2010_24_a7/}
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Mark W. Johnson. On modified Reedy and modified projective model structures. Theory and applications of categories, Tome 24 (2010), pp. 179-208. http://geodesic.mathdoc.fr/item/TAC_2010_24_a7/