Source: wikibot/particular-point-topology
= Particular point topology
{wiki=Particular_point_topology}
Particular point topology is a type of topological space characterized by the presence of a designated "particular point" in the space. More formally, let \\( X \\) be a set, and let \\( p \\) be a specific element of \\( X \\). We define a topology \\( \\tau \\) on \\( X \\) by specifying the open sets in the following way: 1. The empty set \\( \\emptyset \\) is an open set.