\begin{definition}[Definition:Fort Space]
Let $S$ be an infinite set.
Let $p \in S$ be a particular point of $S$.
Let $\tau_p \subseteq \powerset S$ be a subset of the power set of $S$ defined as:
:$\tau_p = \leftset {U \subseteq S: p \in \relcomp S U} \text { or } \set {U \subseteq S: \relcomp S U}$ is finite$\rightset{}$
That is, $\tau_p$ is the set of all subsets of $S$ whose complement in $S$ either contains $p$ or is finite.
Then $\tau_p$ is a '''Fort topology''' on $S$, and the topological space $T = \struct {S, \tau_p}$ is a '''Fort space'''.
\end{definition}