Weakly globular Tamsamani N-categories and their rigidification

2016/07/17 by Simona Paoli, Paoli, Simona
Mathematics · #18Dxx #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1607.04870

openalex publication_date 2016/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a new class of higher categorical structures called weakly globular Tamsamani n-categories. These generalize the Tamsamani-Simpson model of higher categories by using the new paradigm of weak globularity to weaken higher categorical structures. We prove this new structure is suitably equivalent to a simpler one previously introduced by the author, called weakly globular n-fold categories.

Citations

• Experimental library of univalent formalization of mathematics
• Quasi-categories and Kan complexes

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