Two classes of Darboux-like, Baire one functions of two variables
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Among the many characterizations of the class of Baire one, Darboux realvalued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they yield interesting classes of functions when interpreted in the two-variable setting. We examine the relationship between these two subclasses of the real-valued Baire one defined on the unit square.
MSC 201026B05 26A21
KeywordsWoodcutters Problem Baire one Darboux
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