---- > [!definition] Definition. ([[topologically distinguishable]]) > Two points $x$ and $y$ of a [[topological space]] $X$ are said to be **topologically distinguishable** if they have different (open) [[neighborhood|neighborhoods]]. A space $X$ in which every pair of points are topologically distinguishable is said the satisfy the **$T_{0}$ Axiom**. ^definition ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```