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Joins for (Augmented) Simplicial Sets

1999/04/09 by P. J. Ehlers, Philip John Ehlers, T. Porter +3
Computer Science · Mathematics · #18G30 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.CT #msc:18G30

paper · pdf · doi:10.48550/arxiv.math/9904039

8 pages

arxiv created 1999/04/09 · openalex publication_date 1999/04/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a notion of join for (augmented) simplicial sets generalising the classical join of geometric simplicial complexes. The definition comes naturally from the ordinal sum on the base simplicial category Δ.

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