Uniformizable functional Alexandroff spaces
General Topology
2023-09-01 v1
Abstract
In the following text we show that the Alexandroff space is uniformizable if and only if the collection of all smallest neighbourhoods is a partition of . Moreover the Alexandroff space is uniformizable and functional Alexandroff (primal) if and only if the collection of all smallest neighbourhoods is a partition of into its finite subsets.
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Cite
@article{arxiv.2308.16867,
title = {Uniformizable functional Alexandroff spaces},
author = {Fatemah Ayatollah Zadeh Shirazi and Elahe Hakimi and Arezoo Hosseini and Reza Rezavand},
journal= {arXiv preprint arXiv:2308.16867},
year = {2023}
}
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8 pages