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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2404.15788 |
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| _version_ | 1866911851712872448 |
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| author | Andronicou, Savvas Milakis, Emmanouil |
| author_facet | Andronicou, Savvas Milakis, Emmanouil |
| contents | In this article we prove that if $ X $ is a normed space and $ U $ is a polygonally-connected subset of $ X $ with $M:=\{S_i:\ i\in I\}\subset \mathcal{P}\left( U\right) $, a non-empty arbitrary family of discrete, non-empty subsets of $ U, $ then the property of polygonal-connectedness is also preserved in the resulting set $ U\setminus\left( \bigcup_{i\in I} S_i\right),$ under appropriate conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15788 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sufficent Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space Andronicou, Savvas Milakis, Emmanouil General Topology In this article we prove that if $ X $ is a normed space and $ U $ is a polygonally-connected subset of $ X $ with $M:=\{S_i:\ i\in I\}\subset \mathcal{P}\left( U\right) $, a non-empty arbitrary family of discrete, non-empty subsets of $ U, $ then the property of polygonal-connectedness is also preserved in the resulting set $ U\setminus\left( \bigcup_{i\in I} S_i\right),$ under appropriate conditions. |
| title | Sufficent Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space |
| topic | General Topology |
| url | https://arxiv.org/abs/2404.15788 |