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Some remarks on invariant liftings

  • Liftings, Multifunctions And Selections
  • Conference paper
  • First Online:
Measure Theory Oberwolfach 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1089))

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References

  1. N. Bourbaki, Intégration, Ch.7,8, Hermann, Paris 1963.

    Google Scholar 

  2. F.P. Greenleaf, Invariant means on topological groups, van Nostrand, Math.Studies, New York 1969.

    MATH  Google Scholar 

  3. -and C. Ionescu Tulcea, Topics in the theory of lifting, Ergeb. d. Math. 48, Springer, Berlin-Heidelberg-New York 1969.

    Book  MATH  Google Scholar 

  4. -, On the existence of a lifting commuting with the left translations of an arbitrary locally compact group,Proc.Fifth Berkeley Symp,on Math.Stat, and Prob., Vol.II,Part I, 63–97, Univ.of California Press 1967.

    Google Scholar 

  5. A. Ionescu Tulcea, On the lifting property (V), Ann.Math.Stat. 36,819–828 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  6. R.A. Johnson, Strong liftings which are not Borel liftings, Proc.Amer.Math.Soc.80, 234–236 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  7. -, Strong liftings commuting with minimal distal flows, Pacific J.Math.90, 77–85 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  8. A.A. Kirillov, Elements of the Theory of Representations, Grundl.220,Springer, Berlin-Heidelberg-New York 1976.

    Book  Google Scholar 

  9. J.Kupka,K.Prikry, Translation invariant Borel liftings hardly ever exist, to appear in Indiana J.Math.

    Google Scholar 

  10. J. Kupka, Strong liftings with applications to measurable cross sections in locally compact groups, Israel J.Math.44, 243–261 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  11. V. Losert,H. Rindler,Almost invariant sets, Bull.London Math.Soc. 13(1981), 145–148.

    Article  MathSciNet  MATH  Google Scholar 

  12. -, Asymptotically central functions and invariant extensions of Dirac measure, to appear in Proc.Conference "Probability measures on groups", Oberwolfach 1983, Springer Lecture Notes.

    Google Scholar 

  13. -, Conjugation invariant means, preprint.

    Google Scholar 

  14. R.J. Maher, Strong liftings and Borel liftings, Adcances Math. 13, 55–72(1974).

    Article  MathSciNet  MATH  Google Scholar 

  15. J. Oxtoby, Measure and Category, Springer, New York-Heidelberg-Berlin 1971.

    Book  MATH  Google Scholar 

  16. H.Reiter,Classical harmonic analysis and locally compact groups, Oxford University Press 1968.

    Google Scholar 

  17. J. Rosenblatt, Uniqueness of invariant means for measure-preserving transformations, Trans.Amer.Math.Soc.265(1981),623–636.

    Article  MathSciNet  MATH  Google Scholar 

  18. M. Talagrand,La pathologie des relévements invariants,Proc.Amer. Math.Soc.84,379–382(1982).

    MathSciNet  MATH  Google Scholar 

  19. -, Closed convex hull of sets of measurable functions, Riemann measurable functions and measurability of translations, Ann.Inst.Fourier(Grenoble) 32,1, 39–69(1982).

    Article  MathSciNet  MATH  Google Scholar 

  20. H. v. Weizsäcker,Eine notwendige Bedingung für die Existenz maßtheoretischer Liftings, Archiv Math.28, 91–97(1977).

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Institut Für Mathematik, Universität Wien, Strudlhofgasse 4, A - 1090, Wien, Austria

    Viktor Losert

Authors
  1. Viktor Losert
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Editor information

D. Kölzow D. Maharam-Stone

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© 1984 Springer-Verlag

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Losert, V. (1984). Some remarks on invariant liftings. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1983. Lecture Notes in Mathematics, vol 1089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072606

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  • DOI: https://doi.org/10.1007/BFb0072606

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13874-7

  • Online ISBN: 978-3-540-39069-5

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