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Gabriel Peyré on X: "The space of compact sets in a metric space is a compact set for the Hausdorff metric. Hausdorff convergence is weak and does not preserve topology, dimension, length
Compact + Hausdorff = Normal
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Compact space - Wikipedia
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PDF) Modal compact Hausdorff spaces
The proof is quite similar to that of a previous result: a compact subspace of a Hausdorff is closed. Theorem: If topological X space is compact and. - ppt download
Compact + Hausdorff = Normal
every compact hausdorff space is normal - YouTube
general topology - Proving that a compact subset of a Hausdorff space is closed - Mathematics Stack Exchange
general topology - Locally compact Hausdorff space conditions - Mathematics Stack Exchange