Symmetric Cubical Sets

Details Symmetric Cubical Sets Symmetric Cubical Sets

2009-10-26

arxiv.org/abs/0910.4948v1

Mathematics

Algebraic Topology

47 pages

Scientific paper

We introduce a new cubical model for homotopy types. More precisely, we'll define a category Qs with the following features: Qs is a PROP containing the classical box category as a subcategory, the category Qs-Set of presheaves of sets on Qs models the homotopy category, and combinatorial symmetric monoidal model categories with cofibrant unit all have homotopically well behaved Qs-Set enrichments.

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