Yayınlanmış 1 Ocak 2023
| Sürüm v1
Dergi makalesi
Açık
Contiguity distance between simplicial maps
Oluşturanlar
- 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
Açıklama
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.
Dosyalar
bib-5319a888-126c-4db6-b27e-f4ccb843de62.txt
Dosyalar
(138 Bytes)
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