Talk:Sion's minimax theorem

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Compactness of X is required[edit]

Compactness of X is required. Compactness of Y cannot be used instead. Even if Y is a single point and f is linear in x, it need not reach its infimum on a non-compact X. Boris Tsirelson (talk) 07:14, 15 May 2017 (UTC)[reply]