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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.15596 |
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| _version_ | 1866912004569038848 |
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| author | İs, Melih Karaca, İsmet |
| author_facet | İs, Melih Karaca, İsmet |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15596 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $m-$homotopic Distances in Digital Images İs, Melih Karaca, İsmet Algebraic Topology 55M30, 68U10, 55P10 G.2.0 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. |
| title | $m-$homotopic Distances in Digital Images |
| topic | Algebraic Topology 55M30, 68U10, 55P10 G.2.0 |
| url | https://arxiv.org/abs/2408.15596 |