hemicontinuous

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English

Etymology

From hemi- +‎ continuous.

Adjective

hemicontinuous (not comparable)

  1. (mathematics) 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.