On modified Reedy and modified projective model structures

Details On modified Reedy and modified projective model structures On modified Reedy and modified projective model structures

2010-04-22

arxiv.org/abs/1004.3922v1

Mathematics

Algebraic Topology

33 pages, including an appendix detailing the Reedy inductive framework

Scientific paper

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.

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