Skip to main content

On the uniformisation of sets in topological spaces

  • Chapter
  • First Online:
Selection Theorems and their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 263))

  • 413 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. J. Aumann, Measurable utility and the measurable choice theorem, Proc. Int. Colloq., La Decision, C.N.R.S., Aix-en-Provence [1967], 15–26.

    Google Scholar 

  2. S. Braun, Sur l'uniformisation des ensembles fermes, Fund. Math, 28 [1937], 214–218.

    MATH  Google Scholar 

  3. N. Lusin, Lecons sur les ensembles analytiques et leurs applications. Paris, [1930].

    Google Scholar 

  4. N. Lusin, Sur le probleme de M.J. Hadamard d'uniformisation des ensembles. Mathematica, 4 [1930], 54–66.

    MATH  Google Scholar 

  5. N. Lusin and P. Novikoff, Choix effectif d'un point dans un complementaire analytic arbitraire, donne par un crible, Fund. Math, 25 [1935], 559–560.

    MATH  Google Scholar 

  6. C. A. Rogers and R. C. Willmott, On the uniformisation of sets in topological spaces, Acta. Math 120 [1968], 1–52.

    Article  MathSciNet  MATH  Google Scholar 

  7. W. Sierpinski, Sur l'uniformisation des ensembles measurables (B), Fund. Math 16, [1930], 136–139.

    MATH  Google Scholar 

  8. R. Solovay, A model of set theorey in which every set of reals is Lebesgue measurable, Ann. Math 92, [1970], pp 2.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Springer-Verlag

About this chapter

Cite this chapter

Parthasarathy, T. (1972). On the uniformisation of sets in topological spaces. In: Selection Theorems and their Applications. Lecture Notes in Mathematics, vol 263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058355

Download citation

  • DOI: https://doi.org/10.1007/BFb0058355

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05818-2

  • Online ISBN: 978-3-540-37464-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics