Higher Contiguity Distance

Fuente: arXiv
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Autores principales: Yazici, Nilay Ekiz, Borat, Ayse
Formato: Preprint
Publicado: 2024
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author Yazici, Nilay Ekiz
Borat, Ayse
author_facet Yazici, Nilay Ekiz
Borat, Ayse
contents In this paper, we introduce the higher analogues of contiguity distance and its relations with simplicial Lusternik-Schnirelmann category and discrete topological complexity. Also we study the effects of geometric realisation and barycentric subdivision in the sense that how the geometric realisation of the simplicial maps and the induced simplicial maps on barycentric subdivisions affects higher contiguity distance.
format Preprint
id arxiv_https___arxiv_org_abs_2403_05348
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher Contiguity Distance
Yazici, Nilay Ekiz
Borat, Ayse
Algebraic Topology
55M30, 55U10, 55U05
In this paper, we introduce the higher analogues of contiguity distance and its relations with simplicial Lusternik-Schnirelmann category and discrete topological complexity. Also we study the effects of geometric realisation and barycentric subdivision in the sense that how the geometric realisation of the simplicial maps and the induced simplicial maps on barycentric subdivisions affects higher contiguity distance.
title Higher Contiguity Distance
topic Algebraic Topology
55M30, 55U10, 55U05
url https://arxiv.org/abs/2403.05348