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