On an extension of the notion of Reedy category

Abstract

We extend the classical notion of a Reedy category so as to allow non-trivial automorphisms. Our extension includes many important examples occuring in topology such as Segal's category Gamma, or the total category of a crossed simplicial group such as Connes' cyclic category Lambda. For any generalized Reedy category R and any cofibrantly generated model category E, the functor category E^R is shown to carry a canonical model structure of Reedy type.

References in corpus (2)

• Dendroidal Sets
• Iterated wreath product of the simplex category and iterated loop spaces

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