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 İndekslerine Giren Dergi) identifier

  • Cilt numarası: 26
  • Basım Tarihi: 2020
  • Dergi Adı: NEW YORK JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.598-606

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.