Source: wikibot/nagata-smirnov-metrization-theorem
= Nagata–Smirnov metrization theorem
{wiki=Nagata–Smirnov_metrization_theorem}
The Nagata–Smirnov metrization theorem is a fundamental result in topology that provides conditions under which a topological space can be metrized, meaning that the topology of the space can be derived from a metric. This theorem is particularly relevant for spaces that are compact, Hausdorff, and first-countable.