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Some Properties Of Proximal Homotopy Theory
Melih Is, Ismet Karaca
Nearness theory comes into play in homotopy theory because the notion of closeness between points is essential in determining whether two spaces are homotopy equivalent. While near…
Explicit motion planning in digital projective product spaces
Seher Fişekci, İsmet Karaca
We introduce the digital projective product spaces based on Davis' projective product spaces. We determine an upper bound for the digital LS-category of the digital projective prod…
Higher Topological Complexity For Fibrations
Melih Is, Ismet Karaca
We introduce the higher topological complexity (TC_{n}) of a fibration in two ways: the higher homotopic distance and the Schwarz genus. Then we have some results on this notion re…
Digital Topological Complexity of Digital Maps
Melih Is, Ismet Karaca
In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally c…
Certain topological methods for computing digital topological complexity
Melih Is, Ismet Karaca
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…