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arXiv · 2408.15596

$m-$homotopic Distances in Digital Images

Melih İs·İsmet Karaca
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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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Melih İs, İsmet Karaca. 2024-08-28. $m-$homotopic Distances in Digital Images. https://arxiv.org/abs/2408.15596

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