Definition:Indecomposable Continuum
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
Let $H \subseteq S$ be a continuum in $T$.
Then $H$ is indecomposable if and only if it is not the union of two different non-degenerate proper subcontinua.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $4$: Connectedness: Biconnectedness and Continua