Definition:Degenerate Connected Set/Topological Space
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
$T$ is a degenerate connected space if and only if it contains exactly one element.
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