Source: wikibot/excluded-point-topology
= Excluded point topology
{wiki=Excluded_point_topology}
Excluded point topology is a specific kind of topology on a set where one specific point is excluded from the open sets of the topology. More formally, let \\( X \\) be a set and let \\( x_0 \\in X \\) be a designated point. The excluded point topology on \\( X \\) consists of the following collection of open sets: 1. The empty set \\( \\emptyset \\). 2. The entire set \\( X \\).