English Dictionary

upper semi-continuous

adj

(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.

The function is upper semi-continuous.

意味（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.

意味（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.