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arXiv · 0910.4948

Symmetric Cubical Sets

Samuel B. Isaacson
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Abstract

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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Samuel B. Isaacson. 2009-10-26. Symmetric Cubical Sets. https://arxiv.org/abs/0910.4948

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