English

Certain topological methods for computing digital topological complexity

Algebraic Topology 2021-03-02 v1

Abstract

In this paper, we examine the relations of two closely related concepts, the digital Lusternik-Schnirelmann category and the digital higher topological complexity, with each other in digital images. For some certain digital images, we introduce κ\kappa-topological groups in the digital topological manner for having stronger ideas about the digital higher topological complexity. Our aim is to improve the understanding of the digital higher topological complexity. We present examples and counterexamples for κ\kappa-topological groups.

Keywords

Cite

@article{arxiv.2103.00468,
  title  = {Certain topological methods for computing digital topological complexity},
  author = {Melih Is and Ismet Karaca},
  journal= {arXiv preprint arXiv:2103.00468},
  year   = {2021}
}

Comments

15 PAGES, 2 FIGURES

R2 v1 2026-06-23T23:35:02.450Z