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.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Roughly speaking, the digital Lusternik-Schnirelmann category of digital images studies how far a digital image is away from being digitally contractible.
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Temel Bulgular & Veri:The digital Lusternik-Schnirelmann category (digital LS category, for short) is defined in [A.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:2018 Verileri
⚙️Değişkenler:Lusternik-Schnirelmann category · Digital topology · digital LS category
Abstract
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.
Borat, A., Vergili, T. (2022). Digital Lusternik-Schnirelmann category of digital functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 4, 1414–1422. https://ajindex.com/articles/529643
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