hemicontinuous

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adjective

Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element.

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Meanings

adjectivehemicontinuous (not comparable)
  1. not comparablemathematicsHaving the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element.

Origin

From hemi- + continuous.

Full word history & related roots →
Cite this entry
APA

hemicontinuous. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/hemicontinuous

MLA

“hemicontinuous.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hemicontinuous. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “hemicontinuous,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/hemicontinuous.

Source: hemicontinuous on Wiktionary, CC BY-SA 4.0.