Geodesic
Some generalizations of results of Carathéodory and Miller
Acta Universitatis Lodziensis. Folia Mathematica, Tome 04 (1991) 
Poreda, Wiesława. Some generalizations of results of Carathéodory and Miller. Acta Universitatis Lodziensis. Folia Mathematica, Tome 04 (1991). http://geodesic.mathdoc.fr/item/AULFM_1991_04_a15/
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     author = {Poreda, Wies{\l}awa},
     title = {Some generalizations of results of {Carath\'eodory} and {Miller}},
     journal = {Acta Universitatis Lodziensis. Folia Mathematica},
     year = {1991},
     volume = {04},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AULFM_1991_04_a15/}
}
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Voir la notice de l'article provenant de la source University of Lodz Repository

This paper concerns measurable functions. It is shown that in the Miller theorem from [2] the assumption about the set J can be weakened. Moreover, it turns out that the carrying over of the Caratheodory theorem from [1] to the case of functions and sets having the Baire property is impossible.