Definition:Fort Space/Uncountable

Definition
Let $S$ be an infinite set.

Let $p \in S$ be a particular point of $S$.

Let $T = \struct {S, \tau_p}$ be a Fort space.

Let $S$ be uncountable.

Then $\tau_p$ is an uncountable Fort topology, and $\struct {S, \tau_p}$ is an uncountable Fort space.

Also see

 * Fort Topology is Topology


 * Definition:Countable Fort Space


 * Definition:Modified Fort Space
 * Definition:Fortissimo Space