Definition:Punctiform Space

Definition

Let $T = \left({S, \tau}\right)$ be a topological space.

Let $H \subseteq S$ be a subset of $T$.

Then $H$ is punctiform if it contains no non-degenerate continua.

Also see

• Results about punctiform spaces can be found here.

Sources

• 1970: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology ... (previous) ... (next): $\text{I}: \ \S 4$: Biconnectedness and Continua