Definition:Dense-in-itself

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This page is about Dense-in-itself in the context of topology. For other uses, see Dense.

Definition

Let $T = \struct {S, \tau}$ be a topological space.

Let $H \subseteq S$.


Then $H$ is dense-in-itself if and only if it contains no isolated points.


Also see

  • Results about topological denseness can be found here.


Sources