Definition:Dense-in-itself
Definition
Let $T = \left({S, \tau}\right)$ 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
- 1970: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology ... (previous) ... (next): $\text{I}: \ \S 1$: Limit Points