Contiguity distance between simplicial maps

Date

2023-01-01

Author

Borat, Ayse
Pamuk, Mehmetcik
VERGİLİ, TANE

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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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

Subject Keywords

Contiguity distance, homotopic distance, Lusternik-Schnirelmann category, topological complexity

URI

https://hdl.handle.net/11511/103044

Collections

Department of Mathematics, Article