upper semi-continuous
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See also: upper semicontinuous
English
Alternative forms
Adjective
upper semi-continuous (not comparable)
- (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.
- (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.
Usage notes
- Both definitions are frequently given, but they are known to be equivalent.
Related terms
Translations
Translations
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Further reading
upper semi-continuous on Wikipedia.Wikipedia
