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A colunterexample on measurable selections and strong lifting

Measurable Selections

Part of the Lecture Notes in Mathematics book series (LNM,volume 794)

Keywords

  • Algebra Homomorphism
  • Measurable Selection
  • Selection Theorem
  • Clopen Subset
  • Radon Probability Measure

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References

  1. Fremlin D.H., On two theorems of Mokobodzki, Preprint 1977.

    Google Scholar 

  2. Graf S., A measurable selection theorem for compact valued maps, Manuscripta Math. 27, 341–352 (1979).

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Hasumi M., A continuous selection theorem for extremally disconnected spaces, Math.Ann. 179, 83–89 (1969).

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  4. Ionescu Tulcea A. and C. Ionescu Tulcea, Topics in the theory of lifting, Berlin-Heidelberg-New York, Springer 1969.

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  5. Lloyd S.P., Two lifting theorems, Proc. AMS 42, 128–134 (1974).

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  6. Losert V., A measure space without the strong lifting property, Math.Ann. 239, 119–128 (1979).

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  7. Maharam D., On a theorem of von Neumann, Proc.AMS 9, 987–994 (1958).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Mokobodzki G., Rélèvement borélien compatible avec une classe d'ensembles négligeables. Application à la désintégration des measures. Séminaire de Probabilités IX pp. 539–543, Lecture Notes in Math. 465, Berlin-Heidelberg-New York, Springer 1975.

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  9. Semadeni Z., Banach spaces of continuous functions, Monografie Matematiyczne, Warszawa, PWN-Polish Scientific Publishers 1971.

    Google Scholar 

  10. Talagrand M., En général il n'existe pas de rélèvement linéaire borélien fort, C.R.Acad.Sci.Paris, Sér.A 287, 633–636 (1978).

    MathSciNet  MATH  Google Scholar 

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© 1980 Springer-Verlag

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Losert, V. (1980). A colunterexample on measurable selections and strong lifting. In: Kölzow, D. (eds) Measure Theory Oberwolfach 1979. Lecture Notes in Mathematics, vol 794. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088221

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  • DOI: https://doi.org/10.1007/BFb0088221

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09979-6

  • Online ISBN: 978-3-540-39221-7

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