Definition:Isolated Point (Topology)/Space
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
$x \in S$ is an isolated point of $T$ if and only if:
- $\exists U \in \tau: U = \set x$
That is, if and only if there exists an open set of $T$ containing no points of $S$ other than $x$.
Also see
- Results about isolated points can be found here.