\begin{definition}[Definition:Particular Point Topology/Finite]
Let $S$ be a set which is non-empty.
Let $p \in S$ be some '''particular point''' of $S$.
Let $T = \struct {S, \tau_p}$ be the particular point space on $S$ by $p$. 
Let $S$ be finite.
Then $\tau_p$ is a '''finite particular point topology''', and $\struct {S, \tau_p}$ is a '''finite particular point space'''.
\end{definition}