I look for a reference of the Extreme Value Theorem for semicontinuous functions defined on a topological space. I know the proof, but I want to cite this result in my work.
2026-02-23 06:26:32.1771827992
Reference for extreme value theorem.
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Have a look at the answer to Extreme Value Theorem and Semicontinuity. This contains an explicit reference:
Aliprantis, Charalambos D., and C. Kim. "Border (1999). Infinite dimensional analysis: a hitchhiker’s guide." (1986)