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Contiguity Distance between Simplicial Maps

2020/12/19 by Ayşe Borat, Ayse Borat, Mehmetcik Pamuk +5 · 3 citations
Computer Science · Decision Sciences · Mathematics · #55M30 #55U05 #55U10 #Algebraic Topology (math.AT) #FOS: Mathematics #Fuzzy and Soft Set Theory #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #msc:55M30 #msc:55U05 #msc:55U10

paper · pdf · doi:10.48550/arxiv.2012.10627

arxiv created 2020/12/19 · openalex publication_date 2020/12/19 · arxiv updated 2020/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study properties of contiguity distance between simplicial maps. In particular, we show that simplicial versions of LS-category and topological complexity are particular cases of this more general notion.

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