Last Updated：2025/11/24
Sentence
コンパクトな位相空間上では、上半連続な実数値関数は必ず最大値を取る。
Quizzes for review
On a compact topological space, any upper semi-continuous real-valued function attains its maximum.
See correct answer
On a compact topological space, any upper semi-continuous real-valued function attains its maximum.
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Related words
upper semi-continuous
Adjective
not-comparable
of a real-valued function on a topological space
Japanese Meaning
位相空間上の実値関数について、任意の実数を定数としたとき、その実数以上の値をとる点全体の集合が閉集合になるという性質を指す。
English - English
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