upper semi-continuousとは 意味・読み方・使い方

形容詞

upper semi-continuous ‎(not comparable)

1. (of a real-valued function on a topological space) Such that, for each fixed number, the subspace of points whose images are at least that number is closed.
2. (of a real-valued function on a topological space) Such that for each fixed point x there is some neighborhood whose image's limit superior is x's image.

使用する際の注意点

• Both definitions are frequently given, but they are known to be equivalent.

関連する語

• lower semi-continuous

外部リンク

• Upper semi-continuous on Wikipedia.

関連する語

• lower semicontinuous

外部リンク

• Upper semicontinuous on Wikipedia.