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

VERGİLİ T.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26
  • Basım Tarihi: 2020
  • Dergi Adı: NEW YORK JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.598-606
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.