Fort Space is T0

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Theorem

Let $T = \left({S, \tau_p}\right)$ be a Fort space on an infinite set $S$.


Then $T$ is a $T_0$ (Kolmogorov) space.


Proof

Follows directly from:

Fort Space is $T_1$
$T_1$ (Fréchet) Space is $T_0$ (Kolmogorov) Space

$\blacksquare$