Higher Analogues of Discrete Topological Complexity
Algebraic Topology
2024-04-17 v2
Abstract
In this paper, we introduce the n-th discrete topological complexity and study its properties such as its relation with simplicial Lusternik-Schnirelmann category and how the higher dimensions of discrete topological complexity relate with each other. Moreover, we find a lower bound of discrete topological complexity which is given by the n-th usual topological complexity of the geometric realisation of that complex. Furthermore, we give an example for the strict case of that lower bound.
Keywords
Cite
@article{arxiv.2310.01333,
title = {Higher Analogues of Discrete Topological Complexity},
author = {Hilal Alabay and Ayse Borat and Esra Cihangirli and Esma Dirican Erdal},
journal= {arXiv preprint arXiv:2310.01333},
year = {2024}
}