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


VERGİLİ T.

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

  • Publication Type: Article / Article
  • Volume: 26
  • Publication Date: 2020
  • Title of Journal : NEW YORK JOURNAL OF MATHEMATICS
  • Page Numbers: pp.598-606

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.