$m-$homotopic Distances in Digital Images

Published 28 Aug 2024 in math.AT | (2408.15596v1)

Abstract: We define digital $m-$homotopic distance and its higher version. We also mention related notions such as $m-$category in the sense of Lusternik-Schnirelmann and $m-$complexity in topological robotics. Later, we examine the homotopy invariance or $m-$homotopy invariance property of these concepts.

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