Tight span of path connected subsets of the Manhattan plane

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Kilic M., Kocak S.

TOPOLOGY AND ITS APPLICATIONS, vol.322, 2022 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 322
  • Publication Date: 2022
  • Doi Number: 10.1016/j.topol.2022.108326
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Keywords: Tight span, Hyperconvexity, Injectivity, Manhattan plane
  • Open Archive Collection: AVESIS Open Access Collection
  • Anadolu University Affiliated: Yes

Abstract

We show that the tight span of a path connected subset of the Manhattan plane can be constructed in a very simple way by "hatching" the subset in horizontal and vertical directions and then taking the closure of the resulting set.(c) 2022 Elsevier B.V. All rights reserved.