Closed sets in a generalization of the Alexandrov cube
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910766288863232 |
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| author | Kurilić, Miloš S. Pavlović, Aleksandar |
| author_facet | Kurilić, Miloš S. Pavlović, Aleksandar |
| contents | We continue work on the topology obtained by the convergence $λ_{ls}$, which started in \cite{KuPaCZ}, and further investigated in \cite{KuPaFil19}. The main goal is to describe the closed sets and closure operator by the family of its minimal elements, with the accent on complete Boolean algebras satisfying countable chain condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20307 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Closed sets in a generalization of the Alexandrov cube Kurilić, Miloš S. Pavlović, Aleksandar General Topology 03E40, 03E17, 06E10, 54A20, 54D55 We continue work on the topology obtained by the convergence $λ_{ls}$, which started in \cite{KuPaCZ}, and further investigated in \cite{KuPaFil19}. The main goal is to describe the closed sets and closure operator by the family of its minimal elements, with the accent on complete Boolean algebras satisfying countable chain condition. |
| title | Closed sets in a generalization of the Alexandrov cube |
| topic | General Topology 03E40, 03E17, 06E10, 54A20, 54D55 |
| url | https://arxiv.org/abs/2412.20307 |