upper semi-continuous

adjective

Such that, for each fixed number, the subspace of points whose images are at least that number is closed.

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Meanings

adjectiveupper semi-continuous (not comparable)

alternative upper semicontinuous

  1. not comparableSuch that, for each fixed number, the subspace of points whose images are at least that number is closed.
  2. not comparableSuch that for each fixed point x there is some neighborhood whose image's limit superior is x's image.

Translations

German unterhalbstetig
  • unterhalbstetigTranslations
Cite this entry
APA

upper semi-continuous. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/upper%20semi-continuous

MLA

“upper semi-continuous.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/upper%20semi-continuous. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “upper semi-continuous,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/upper%20semi-continuous.

Source: upper semi-continuous on Wiktionary, CC BY-SA 4.0.