학술논문

Uniformizable functional Alexandroff spaces
Document Type
Working Paper
Source
Subject
Mathematics - General Topology
54C05, 54A05, 54E15
Language
Abstract
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.
Comment: 8 pages