Maximums of Darboux quasi-continuous functions (Q2702794)

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Maximums of Darboux quasi-continuous functions
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    13 March 2001
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    Darboux function
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    quasi-continuous function
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    maximum
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    Maximums of Darboux quasi-continuous functions (English)
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    Author considers two conditions, necessary and sufficient for a function \(f:\mathbb R\to \mathbb R\) to be the maximum of two Darboux quasi-continuous functions. He proves in particular that the necessary condition is not sufficient and the sufficient one is not necessary. The problem of the characterization of the maxima of Darboux quasi-continuous functions remains still open.
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