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Results tagged with semicontinuity
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user 18936
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Is a convex, lower semicontinuous function that is bounded from below, actually continuous?
These sets are closed by the lower semicontinuity of $f$ and $\cup_{K \in \mathbb{N}} A_K = X$. …
- 651
3
votes
Accepted
Is a convex, lower semicontinuous function that is bounded from below, actually continuous?
Though not entirely in the same setting, as can be seen from these lecture notes my reasoning seems to hold. In the lecture notes, one considers barrelled spaces but the local boundedness at some poin …
- 651