Discrete Topological Complexities of Simplical Maps
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916155056193536 |
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| author | İs, Melih Karaca, İsmet |
| author_facet | İs, Melih Karaca, İsmet |
| contents | In this study, we delve into the discrete TC of surjective simplicial fibrations, aiming to unravel the interplay between topological complexity, discrete geometric structures, and computational efficiency. Moreover, we examine the properties of the discrete TC number in higher dimensions and its relationship with scat. We also touch on the basic properties of the notion of higher contiguity distance, and show that it is possible to consider discrete TC computations in a simpler sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05835 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete Topological Complexities of Simplical Maps İs, Melih Karaca, İsmet Algebraic Topology 55M30, 55U10, 05E45 In this study, we delve into the discrete TC of surjective simplicial fibrations, aiming to unravel the interplay between topological complexity, discrete geometric structures, and computational efficiency. Moreover, we examine the properties of the discrete TC number in higher dimensions and its relationship with scat. We also touch on the basic properties of the notion of higher contiguity distance, and show that it is possible to consider discrete TC computations in a simpler sense. |
| title | Discrete Topological Complexities of Simplical Maps |
| topic | Algebraic Topology 55M30, 55U10, 05E45 |
| url | https://arxiv.org/abs/2403.05835 |