Definition:Punctiform Space
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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