Digital Lusternik-Schnirelmann category of digital functions


VERGİLİ T. , Borat A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, ss.1414-1422, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 49 Konu: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.559796
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1414-1422

Özet

Roughly speaking, the digital Lusternik-Schnirelmann category of digital images studies how far a digital image is away from being digitally contractible. The digital Lusternik-Schnirelmann category (digital LS category, for short) is defined in [A. Borat and T. Vergili, Digital Lusternik-Schnirelmann category, Turkish J. Math. 2018]. In this paper, we introduce the digital LS category of digital functions. We will give some basic properties and discuss how this new concept will behave if we change the adjacency relation in the domain and in the image of the digital function and discuss its relation with the digital LS category of a digital image.