Excluded Point Space is Ultraconnected/Proof 1

Theorem

Let $T = \left({S, \tau_{\bar p}}\right)$ be an excluded point space.


Then $T$ is ultraconnected.


Proof

Excluded Point Topology is Open Extension Topology of Discrete Topology
Open Extension Space is Ultraconnected

$\blacksquare$

This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.