English

Higher Contiguity Distance

Algebraic Topology 2024-03-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2403.05348,
  title  = {Higher Contiguity Distance},
  author = {Nilay Ekiz Yazici and Ayse Borat},
  journal= {arXiv preprint arXiv:2403.05348},
  year   = {2024}
}
R2 v1 2026-06-28T15:13:39.456Z