What could be simple examples of $T_0$, $T_1$, $T_3$, $T_4$ and Hausdorff ($T_2$) topological spaces?
2026-04-02 23:40:15.1775173215
Examples of $T_0, T_1, T_3, T_4$ and Hausdorff spaces
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The Sierpiński space is the simplest possible $T_0$ space that is not $T_1$. The cofinite topology on $\Bbb N$ is the simplest possible $T_1$ topology that is not $T_2$. The discrete topology on any set is $T_2$.