Higher Homotopic Distance

Ayse Borat; Tane Vergili

Higher Homotopic Distance

Algebraic Topology 2019-07-22 v1

Authors: Ayse Borat , Tane Vergili

Abstract

The concept of homotopic distance and its higher analog are introduced in [6]. In this paper we introduce some important properties of higher homotopic distance, investigate the conditions under which $\cat$ , $\secat$ and higher dimensional topological complexity are equal to the higher homotopic distance, and give alternative proofs, using higher homotopic distance, to some $\TC_n$ -related theorems.

Keywords

topological complexity distance sets

Cite

@article{arxiv.1907.08384,
  title  = {Higher Homotopic Distance},
  author = {Ayse Borat and Tane Vergili},
  journal= {arXiv preprint arXiv:1907.08384},
  year   = {2019}
}

Comments

11 pages

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