\begin{definition}[Definition:Excluded Point Topology/Infinite]
Let $S$ be a set which is non-empty.
Let $p \in S$ be some '''particular point''' of $S$.
Let $T = \left({S, \tau_{\bar p}}\right)$ be the excluded point space on $S$ by $p$. 
Let $S$ be infinite.
Then $\tau_{\bar p}$ is an '''infinite excluded point topology''', and $\left({S, \tau_{\bar p}}\right)$ is a '''infinite excluded point space'''.
\end{definition}