2023/08/31 by Fatemah Ayatollah Zadeh Shirazi, Shirazi, Fatemah Ayatollah Zadeh, Elahe Hakimi +5
Computer Science · Mathematics · #54A05 #54C05 #54E15 #Advanced Algebra and Logic #Advanced Topology and Set Theory #Digital Image Processing Techniques #FOS: Mathematics #General Topology (math.GN)
paper · pdf · doi:10.48550/arxiv.2308.16867
openalex publication_date 2023/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the following text we show that the Alexandroff space X is uniformizable if and only if the collection of all smallest neighbourhoods is a partition of X. Moreover the Alexandroff space X is uniformizable and functional Alexandroff (k-primal) if and only if the collection of all smallest neighbourhoods is a partition of X into its finite subsets.