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Invariance of borel classes in metric spaces

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References

  1. Čoban, M.M.: Multivalued mappings and Borel sets I. Trudy Moskov. Mat. Obšč.22, 229–250 (1970) [=Transl. Moscow Math. Soc.22, 258–280 (1970)]

    Google Scholar 

  2. Freiwald, R.C.: Images of Borel sets andk-analytic sets. Fund. Math.75, 35–46 (1972)

    Google Scholar 

  3. Fleissner, W.G.: An axiom for nonseparable Borel theory. Trans AMS251, 309–328 (1979)

    Google Scholar 

  4. Hansell, R.W.: Borel measurable mappings for nonseparable metric spaces. Trans. AMS161, 145–169 (1971)

    Google Scholar 

  5. Hansell, R.W.: On Borel mappings and Baire functions. Trans. AMS194, 195–211 (1974)

    Google Scholar 

  6. Hansell, R.W., Jayne, J.E., Rogers, C.A.: Piece-wise closed functions and almost discretely σ-decomposable families. To appear

  7. Jayne, J.E., Rogers, C.A.: Fonctions et isomorphismes boréliens du premier niveau. C.R. Acad. Sci. Paris Sér. A291, 351–354 (1980)

    Google Scholar 

  8. Jayne, J.E., Rogers, C.A.: Fonctions fermées en partie. C.R. Acad. Sci. Paris Sér. A291, 667–670 (1980)

    Google Scholar 

  9. Jayne, J.E., Rogers, C.A.: Piece-wise closed functions. Math. Ann.255, 499–518 (1981)

    Google Scholar 

  10. Jayne, J.E., Rogers, C.A.: First level Borel functions and isomorphisms. J. Math. Pure Appl.61, 177–205 (1982)

    Google Scholar 

  11. Jayne, J.E., Rogers, C.A.: The invariance of the absolute Borel classes, Convex analysis and optimization. Research Notes in Math., No. 57, pp. 118–151. London: Pitman 1982

    Google Scholar 

  12. Kaniewski, J., Pol, R.: Borel measurable selectors for compact-valued mappings in the non-separable case. Bull. Acad. Polon.23, 1043–1050 (1975)

    Google Scholar 

  13. Kuratowski, K.: Topology I. New York: Academic Press 1966

    Google Scholar 

  14. Rogers, C.A., Jayne, J.E., Dellacherie, C., Topsøe, F., Hoffmann-Jørgensen, J., Martin, D.A., Kechris, A.S., Stone, A.H.: Analytic sets. London: Academic Press 1980

    Google Scholar 

  15. Saint-Raymond, J.: Fonctions boréliennes sur un quotient. Bull. Sci. Math.100, 141–147 (1976)

    Google Scholar 

  16. Taîmanov, A.D.: On closed mappings I. Mat. Sb.,36, 349–352 (1955)

    Google Scholar 

  17. Vaînšteîn, I.A.: On closed mappings on metric spaces. Dokl. Akad. Nauk. SSSR57, 319–321 (1947)

    Google Scholar 

  18. Vaînšteîn, I.A.: On closed mappings. Učen. Zap. Moskov. Univ.155, 3–53 (1952)

    Google Scholar 

  19. Hansell, R.W.: On characterizing non-separable analytic and extended Borel sets as types of continuous images. Proc. London Math. Soc.28, 683–699 (1974)

    Google Scholar 

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Jayne, J.E., Rogers, C.A. Invariance of borel classes in metric spaces. Math. Ann. 263, 323–341 (1983). https://doi.org/10.1007/BF01457135

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  • DOI: https://doi.org/10.1007/BF01457135

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