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math.AT2023★ 1 cited
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…
math.AT2023★ 1 cited
Proximal Motion Planning Algorithms
Melih İs, İsmet Karaca
In this paper, we transfer the problem of measuring navigational complexity in topological spaces to the nearness theory. We investigate the most important component of this proble…