Colax Reedy diagrams

Abstract

We use a theory of colax Reedy diagrams to show that the category of Segal M-precategories with fixed set of objects has a model structure for a symmetric monoidal model category M = (M,\otimes,I). What is relevant here is when M is monoidal for a non-cartesian product. The model structure is of Reedy style and generalizes the Reedy model structure for classical Segal M-precategories when M is monoidal for the cartesian product. The techniques we use also generalize the Reedy model structure for classical Reedy diagrams.

22 pages, first draft. Comments always welcome

References in corpus (3)

• Homotopy Algebras for Operads
• Lax Diagrams and Enrichment
• Les groupements

Cited by in corpus (1)

• Toward a strictification theorem for co-Segal categories