Sets in Modified Fort Space are Separated/Mistake

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Source Work

1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.):

Part $\text {II}$: Counterexamples
Section $27$: Modified Fort Space
Item $4$


Every point is a component since every set containing more than one point is separated, ...

Separated is the wrong word to use here, as that refers to the relationship between two subsets of a space.

The correct word is disconnected.

Also see