Nagata–Smirnov metrization theorem
id:
nagata-smirnov-metrization-theorem-248-11144238
title:
Nagata–Smirnov metrization theorem
text:
In topology, the Nagata–Smirnov metrization theorem characterizes when a topological space is metrizable. The theorem states that a topological space X is metrizable if and only if it is regular, Hausdorff and has a countably locally finite basis. A topological space X is called a regular space if every non-empty closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods.
A collection in a space X is countably locally finite if it is the union of a countable f
brand slug:
wiki
category slug:
encyclopedia
description:
Characterizes when a topological space is metrizable
original url:
https://en.wikipedia.org/wiki/Nagata%E2%80%93Smirnov_metrization_theorem
date created:
date modified:
2023-07-10T22:55:28Z
main entity:
{"identifier":"Q2621667","url":"https://www.wikidata.org/entity/Q2621667"}
image:
fields total:
13
integrity:
14