Connectedness and Lusternik-Schnirelmann categories of the spaces of persistence modules

VERGİLİ T.

NEW YORK JOURNAL OF MATHEMATICS, vol.26, pp.598-606, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26
  • Publication Date: 2020
  • Journal Name: NEW YORK JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.598-606
  • Karadeniz Technical University Affiliated: Yes

Abstract

The classes of various interval decomposable persistence modules in literature were analyzed, the sets were determined, and some topological characteristics that these sets gained through interleaving metric were studied. In this study, connectedness of these spaces and their Lusternik-Schnirelmann categories were considered.