Source: wikibot/countably-generated-space
= Countably generated space
{wiki=Countably_generated_space}
A **countably generated space** is a type of topological space that can be described in terms of its open sets. Specifically, a topological space \\( X \\) is called countably generated if there exists a countable collection of open sets \\( \\\{ U_n \\\}_\{n=1\}^\\infty \\) such that the smallest topology on \\( X \\) generated by these open sets is the same as the original topology on \\( X \\).