Fort Space is Regular
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Theorem
Let $T = \struct {S, \tau_p}$ be a Fort space.
Then $T$ is a regular space.
Proof
We have that the Fort Space is Completely Normal.
The result follows from tracing the relevant implications on Sequence of Implications of Separation Axioms.
$\blacksquare$
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text {II}$: Counterexamples: $23 \text { - } 24$. Fort Space: $6$