Geodesic
Two classes of Darboux-like, Baire one functions of two variables
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 549-569 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Among the many characterizations of the class of Baire one, Darboux real-valued 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.
Among the many characterizations of the class of Baire one, Darboux real-valued 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.
Classification : 26A21, 26B05
Keywords: Woodcutters Problem; Baire one; Darboux 
@article{CMJ_2010_60_2_a19,
     author = {Evans, Michael J. and Humke, Paul D.},
     title = {Two classes of {Darboux-like,} {Baire} one functions of two variables},
     journal = {Czechoslovak Mathematical Journal},
     pages = {549--569},
     year = {2010},
     volume = {60},
     number = {2},
     mrnumber = {2657969},
     zbl = {1224.26040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a19/}
}
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Evans, Michael J.; Humke, Paul D. Two classes of Darboux-like, Baire one functions of two variables. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 549-569. http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a19/