Colax Reedy diagrams

Hugo V. Bacard

Colax Reedy diagrams

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arxiv 1307.7215 v1 pith:CWMUSNOR submitted 2013-07-27 math.CT

Hugo V. Bacard This is my paper · ORCID

classification math.CT

keywords reedymodelstructurediagramsmonoidalcategoryclassicalcolax

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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.

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The category of necklaces is a test category
math.CT 2026-07 accept novelty 6.0 of 10

The category of necklaces is a test category, so its presheaf category is a model for homotopy types.

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