Published January 1, 2023 | Version v1
Journal article Open

Contiguity distance between simplicial maps

  • 1. Bursa Tech Univ, Fac Engn & Nat Sci, Dept Math, Bursa, Turkiye
  • 2. Middle East Tech Univ, Fac Sci, Dept Math, Ankara, Turkiye
  • 3. Karadeniz Tech Univ, Fac Sci, Dept Math, Trabzon, Turkiye

Description

For simplicial complexes and simplicial maps, the notion of being in the same contiguity class is defined as the discrete version of homotopy. In this paper, we study the contiguity distance, SD, between two simplicial maps adapted from the homotopic distance. In particular, we show that simplicial versions of LS-category and topological complexity are particular cases of this more general notion. Moreover, we present the behaviour of SD under the barycentric subdivision, and its relation with strong collapsibility of a simplicial complex.

Files

bib-5319a888-126c-4db6-b27e-f4ccb843de62.txt

Files (138 Bytes)

Name Size Download all
md5:38b16082edea2a252f848e5501200354
138 Bytes Preview Download