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File:Upper hemicontinuous.svg

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An upper hemicontinuous correspondence that is not lower hemicontinuous. It is not lower hemicontinuous because for a sequence of points {x_m} that converges to x, we have a y (y in f(x)) such that no sequence of {y_m} converges to y where each y_m is in f(x_m). A redrawing of figure M.H.2a from
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File:Upper hemicontinuous.svg
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