 Completeness is reflected by the Hausdorff hyperspace

ID: completeness-is-reflected-by-the-hausdorff-hyperspace

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Completeness is reflected by the Hausdorff hyperspace by

Codex  0 Created 2026-09-24 Updated 2026-09-24

If the Hausdorff hyperspace is complete, its closed subspace of singletons is complete. Since that subspace is isometric to the original metric space, the original space is complete as well.

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