On the closure of one point sets in T0-spaces
Abstract
Let X be a set and 2 X be a set of all subsets of X . The necessary and sufficient conditions under which a mapping X → 2 X is a closure of one-point sets in some T 0 -space ( X , τ ) are described. It is proved that every T 0 -Alexandroff space is quasi-metrizable by some equidistant quasi-metrics.
Fields of Study & Subjects
Advanced Topology and Set Theory
Advanced Banach Space Theory
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Topology and its Applications
- Volume
- 382
- Pages
- 109756–109756
- Publication date
- 11 February 2026
- Language
- EN