HIGHER HOMOTOPIC DISTANCE

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Borat A., VERGİLİ T.

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, vol.57, no.2, pp.525-534, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.12775/tmna.2020.053
  • Journal Name: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.525-534
  • Keywords: Homotopic distance, topological complexity, Lusternik-Schnirelmann category, TOPOLOGICAL COMPLEXITY
  • Karadeniz Technical University Affiliated: Yes

Abstract

The concept of the homotopic distance and its higher analogs are introduced in [7]. In this paper we introduce some important properties of higher homotopic distances, investigate the conditions under which cat, secat and higher dimensional topological complexity categories are equal to the higher homotopic distance, and give alternative proofs, using higher homotopic distances, to some TCn-related theorems.