Definition:Fort Space/Uncountable
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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
- Results about Fort spaces can be found here.
Source of Name
This entry was named for Marion Kirkland Fort, Jr.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text {II}$: Counterexamples: $24$. Uncountable Fort Space