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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.02708 |
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| _version_ | 1866910701854916608 |
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| author | Chatyrko, Vitalij A. |
| author_facet | Chatyrko, Vitalij A. |
| contents | In this paper we extend the construction of the Niemytzki plane to dimension $n \geq 3$. Further, we consider a poset of topologies on the closed $n$-dimensional Euclidean half-space similar to one from \cite{AAK} which is related to the Niemytzki plane topology. Then we explore properties of topologies from the poset. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02708 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a modification of finite-dimensional Niemytzki spaces Chatyrko, Vitalij A. General Topology In this paper we extend the construction of the Niemytzki plane to dimension $n \geq 3$. Further, we consider a poset of topologies on the closed $n$-dimensional Euclidean half-space similar to one from \cite{AAK} which is related to the Niemytzki plane topology. Then we explore properties of topologies from the poset. |
| title | On a modification of finite-dimensional Niemytzki spaces |
| topic | General Topology |
| url | https://arxiv.org/abs/2405.02708 |