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Almanzoris authored Sep 30, 2024
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name: Fort space
---
Let \(X=\mathbb{R}\cup\{\infty\}\).
Define $U \subset X$ to open if its complement is finite or includes \(\infty\).
Define $U \subset X$ to be open if its complement is finite or does not include \(\infty\).

Defined as counterexample #24 ("Uncountable Fort Space")
in {{doi:10.1007/978-1-4612-6290-9}}.

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