Excluded Point Space is Connected/Proof 3
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Theorem
Let $T = \left({S, \tau_{\bar p}}\right)$ be an excluded point space.
Then $T^*_{\bar p}$ is a connected space.
Proof
- Excluded Point Space is Ultraconnected
- Ultraconnected Space is Path-Connected
- Path-Connected Space is Connected
$\blacksquare$