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Certain topological methods for computing digital topological complexity

Melih Is|Ismet Karaca
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.03|한국수학논문집 (Korean Journal of Mathematics)|제31권 제1호|pp. 1-16

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키워드

topological groupsDigital topologytopological roboticsLusternik-Schnirelmann category.
주제분류수학

초록

In this paper, we examine the relations of two closely related concepts, the digital Lusternik-Schnirelmann category and the digital higher topological complexity, with each other in digital images. For some certain digital images, we introduce $\kappa-$topological groups in the digital topological manner for having stronger ideas about the digital higher topological complexity. Our aim is to improve the understanding of the digital higher topological complexity. We present examples and counterexamples for $\kappa-$topological groups.

Abstract

In this paper, we examine the relations of two closely related concepts, the digital Lusternik-Schnirelmann category and the digital higher topological complexity, with each other in digital images. For some certain digital images, we introduce $\kappa-$topological groups in the digital topological manner for having stronger ideas about the digital higher topological complexity. Our aim is to improve the understanding of the digital higher topological complexity. We present examples and counterexamples for $\kappa-$topological groups.

참고문헌 (29)

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