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IDs 700-799

743

(Hereditarily paracompact ∧ $T_2$ ∧ Cardinality less than every measurable cardinal) $\implies$ Hereditarily realcompact

Added:

Dec 12, 2027

Difficulty:

WIP

757

Empty $\implies$ Locally $1$ -Euclidean

Added:

Mar 12, 2026

Difficulty:

Every $p \in \emptyset$ is homeomorphic to $\R$ .

782

(Discrete ∧ Finite) $\implies$ Has a cofinite topology

Added:

Mar 12, 2026

Difficulty:

The complement of any set must be finite.