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Spans in 2-Categories: A monoidal tricategory

2011/12/02 by Alexander E. Hoffnung, Hoffnung, Alexander E. · 1 citation
Mathematics · Medicine · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications

paper · pdf · doi:10.48550/arxiv.1112.0560

openalex publication_date 2011/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a one-object tetracategory. We recall some notions of limits in 2-categories for use in the construction of the monoidal tricategory of spans.

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