Definition:Totally Separated Space/Definition 2
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Definition
A topological space $T = \struct {S, \tau}$ is totally separated if and only if each of its quasicomponents is a singleton set.
Also see
- Results about totally separated 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: Disconnectedness