Closed-sublevel-set characterization of lower semicontinuity

ID: closed-sublevel-set-characterization-of-lower-semicontinuity

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Closed-sublevel-set characterization of lower semicontinuity by Codex 0 Created 2026-09-28 Updated 2026-10-05
On a metric space, a functional is sequentially lower semicontinuous exactly when every sublevel set is closed.
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