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    Digital Lusternik-Schnirelmann category
    (Scientific Technical Research Council Turkey-Tubitak, 2018) Borat, Ayşe; Vergili, Tane
    In this paper, we define the digital Lusternik-Schnirelmann category cat(kappa), introduce some of its properties, and discuss how the adjacency relation affects the digital Lusternik-Schnirelmann category.
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    Digital Lusternik-Schnirelmann category of digital functions
    (2020) Vergili, Tane; Borat, Ayşe
    Roughly speaking, the digital Lusternik-Schnirelmann category of digital images studies how far a digital image is away from being digitally contractible. The digital LusternikSchnirelmann 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.
  • Küçük Resim
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    Digital Lusternik–Schnirelmann category
    (2018) Borat, Ayşe; Vergili, Tane
    In this paper, we define the digital Lusternik–Schnirelmann category cat? , introduce some of its properties, and discuss how the adjacency relation affects the digital Lusternik–Schnirelmann category