Definition:Connected (Topology)/Topological Space/Definition 5
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Definition
Let $T = \struct {S, \tau}$ be a non-empty topological space.
$T$ is connected if and only if there are no two non-empty separated sets whose union is $S$.
Also see
- Results about connected spaces can be found here.
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