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Borel sections of many-valued maps

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Literature Cited

  1. N. Lusin, “Sur la problème de J. Hadamard d'uniformisation des ensembles”, Mathematics (Cluj),4, 54–66 (1930).

    Google Scholar 

  2. V. Yankov, “On the unification of A-sets”, Dokl. Akad. Nauk SSSR,30, No. 7, 591–592 (1941).

    Google Scholar 

  3. 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.

    Google Scholar 

  4. M.-F. Sainte-Beuve, “On the extension of von Neumann-Aumann's theorem”, J. Funct. Anal.,17, No. 1, 112–129 (1974).

    Google Scholar 

  5. P. S. Novikov, “On the projections of certain B-sets”, Dokl. Akad. Nauk SSSR,23, No. 9, 863–864 (1939).

    Google Scholar 

  6. V. Ya. Arsenin and A. A. Lyapunov, “Theory of A-sets”, Usp. Mat. Nauk,5, No. 5, 45–108 (1950).

    Google Scholar 

  7. V. A. Rokhlin, “Selected questions of the metric theory of dynamic systems”, Usp. Mat. Nauk,4, No. 2, 57–128 (1949).

    Google Scholar 

  8. M. Sion, “On the uniformization of sets in topological spaces”, Trans. Am. Math. Soc.,96, No. 2, 237–245 (1960).

    Google Scholar 

  9. 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).

    Google Scholar 

  10. C. Castaing, “Sur les multi-applications mesurables”, Rev. Inf. Rech. Oper.,1, 91–126 (1967).

    Google Scholar 

  11. C. Castaing, “Le théorème de Dunford-Pettis généralisé”, Publ. No. 43, Univ. de Montpellier (1968–1969).

  12. G. Debreu, “Integration of correspondences”, Proc. Fifth Berkeley Symp. Math. Statist. and Prob., Vol. 2, Pt. 1, Univ. Calif. Press (1966), pp. 351–372.

    Google Scholar 

  13. K. Kuratowskl, Topology, Vol. I, Academic Press, New York-London (1966).

    Google Scholar 

  14. 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).

    Google Scholar 

  15. C. Castaing, “Sur la mesurabilité du profil d'un ensemble convexe compact variant de facon mesurable”, Collège Scientifique Univ. de Perpignan (1968).

  16. 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).

    Google Scholar 

  17. R. R. Phelps, Lectures on Choquet's Theorems, Van Nos Reinhold (1966).

Download references

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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

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