HIGHER HOMOTOPIC DISTANCE

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Borat A., VERGİLİ T.

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, cilt.57, sa.2, ss.525-534, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 57 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.12775/tmna.2020.053
  • Dergi Adı: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.525-534
  • Anahtar Kelimeler: Homotopic distance, topological complexity, Lusternik-Schnirelmann category, TOPOLOGICAL COMPLEXITY
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.