Geodesic
Metric space valued functions of the first Baire class and their applications
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIII, Tome 135 (1984), pp. 135-149

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The classical Baire's characterization of functions of the first Baire class in terms of continuity points is extended to functions with values, in some metric spaces. The result is applied to obtain some new characterisations of Radon–Nikodym operators. 
@article{ZNSL_1984_135_a12,
     author = {O. I. Reinov},
     title = {Metric space valued functions of the first {Baire} class and their applications},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {135--149},
     publisher = {mathdoc},
     volume = {135},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a12/}
}
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O. I. Reinov. Metric space valued functions of the first Baire class and their applications. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIII, Tome 135 (1984), pp. 135-149. http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a12/