upper semi-continuous

Adjective

 * 1)  Such that, for each fixed number, the subspace of points whose images are at least that number is closed.
 * 2)  Such that for each fixed point x there is some neighborhood whose image's limit superior is x 's image.

Usage notes

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

Translations

 * German: unterhalbstetig