Higher Analogues of Discrete Topological Complexity
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909171039862784 |
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| author | Alabay, Hilal Borat, Ayse Cihangirli, Esra Erdal, Esma Dirican |
| author_facet | Alabay, Hilal Borat, Ayse Cihangirli, Esra Erdal, Esma Dirican |
| contents | In this paper, we introduce the n-th discrete topological complexity and study its properties such as its relation with simplicial Lusternik-Schnirelmann category and how the higher dimensions of discrete topological complexity relate with each other. Moreover, we find a lower bound of $n-$discrete topological complexity which is given by the n-th usual topological complexity of the geometric realisation of that complex. Furthermore, we give an example for the strict case of that lower bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01333 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher Analogues of Discrete Topological Complexity Alabay, Hilal Borat, Ayse Cihangirli, Esra Erdal, Esma Dirican Algebraic Topology 55M30, 55U05 In this paper, we introduce the n-th discrete topological complexity and study its properties such as its relation with simplicial Lusternik-Schnirelmann category and how the higher dimensions of discrete topological complexity relate with each other. Moreover, we find a lower bound of $n-$discrete topological complexity which is given by the n-th usual topological complexity of the geometric realisation of that complex. Furthermore, we give an example for the strict case of that lower bound. |
| title | Higher Analogues of Discrete Topological Complexity |
| topic | Algebraic Topology 55M30, 55U05 |
| url | https://arxiv.org/abs/2310.01333 |