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Literature Cited
N. Lusin, “Sur la problème de J. Hadamard d'uniformisation des ensembles”, Mathematics (Cluj),4, 54–66 (1930).
V. Yankov, “On the unification of A-sets”, Dokl. Akad. Nauk SSSR,30, No. 7, 591–592 (1941).
R. J. Aumann, “Measurable utility and measurable choice theorem”, Proc. Colloq. Internat. CNRS “La Décision”, Aix-en-Provence, 1967, Edition CNRS, Paris (1969), pp. 15–26.
M.-F. Sainte-Beuve, “On the extension of von Neumann-Aumann's theorem”, J. Funct. Anal.,17, No. 1, 112–129 (1974).
P. S. Novikov, “On the projections of certain B-sets”, Dokl. Akad. Nauk SSSR,23, No. 9, 863–864 (1939).
V. Ya. Arsenin and A. A. Lyapunov, “Theory of A-sets”, Usp. Mat. Nauk,5, No. 5, 45–108 (1950).
V. A. Rokhlin, “Selected questions of the metric theory of dynamic systems”, Usp. Mat. Nauk,4, No. 2, 57–128 (1949).
M. Sion, “On the uniformization of sets in topological spaces”, Trans. Am. Math. Soc.,96, No. 2, 237–245 (1960).
K. Kuratowski and C. Ryll-Nardzewski, “A general theorem on selectors”, Bull. Acad. Polon. Sci., Sér. Math., Astron., Phys.,13, No. 6, 397–403 (1965).
C. Castaing, “Sur les multi-applications mesurables”, Rev. Inf. Rech. Oper.,1, 91–126 (1967).
C. Castaing, “Le théorème de Dunford-Pettis généralisé”, Publ. No. 43, Univ. de Montpellier (1968–1969).
G. Debreu, “Integration of correspondences”, Proc. Fifth Berkeley Symp. Math. Statist. and Prob., Vol. 2, Pt. 1, Univ. Calif. Press (1966), pp. 351–372.
K. Kuratowskl, Topology, Vol. I, Academic Press, New York-London (1966).
V. I. Arkin and V. L. Levin, “Convexity of values of vector integrals, measurable choice theorems, and variational problems”, Usp. Mat. Nauk,27, No. 3, 21–77 (1972).
C. Castaing, “Sur la mesurabilité du profil d'un ensemble convexe compact variant de facon mesurable”, Collège Scientifique Univ. de Perpignan (1968).
C. Castaing, “Compacité faible des sections d'une multi-application dans les espaces de Köthe généralisés. Étude des points extrémaux d'un convexe compact variable”, C. R. Acad. Sci. Paris,281, 333–335 (1975).
R. R. Phelps, Lectures on Choquet's Theorems, Van Nos Reinhold (1966).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 3, pp. 617–623, May–June, 1978.
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Levin, V.L. Borel sections of many-valued maps. Sib Math J 19, 434–438 (1978). https://doi.org/10.1007/BF01875294
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DOI: https://doi.org/10.1007/BF01875294