Source: wikibot/generic-point

= Generic point
{wiki=Generic_point}

In topology, a **generic point** is a concept used to describe a point that represents a subset of a topological space in a broad or "generic" sense. Specifically, a point \\( x \\) in a topological space \\( X \\) is called a generic point of a subset \\( A \\) of \\( X \\) if every open set containing \\( x \\) intersects \\( A \\) in a non-empty set.