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Measurable weak selections

  • Measurable Selections
  • Conference paper
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Measure Theory Oberwolfach 1979

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

Abstract

An existence theorem for measurable selections of a multivalued map is proved, without "countability" assumptions on the range. This theorem is used to show the existence of generalized measurable selections, so-called weak selections. The last result yields a generalization of Edgar's existence theorem for weak sections (cf. [2]) and, in addition, the existence of preimage measures in some so far unresolved cases. Moreover, the question of uniqueness for weak selections is settled. From this conditions for the uniqueness of preimage measures — similar to those of Yershov [27], Eisele

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Authors and Affiliations

  1. Mathematisches Institut der Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, D 8520, Erlangen

    Siegfried Graf

Authors
  1. Siegfried Graf
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Dietrich Kölzow

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© 1980 Springer-Verlag

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Graf, S. (1980). Measurable weak selections. In: Kölzow, D. (eds) Measure Theory Oberwolfach 1979. Lecture Notes in Mathematics, vol 794. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088219

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  • DOI: https://doi.org/10.1007/BFb0088219

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09979-6

  • Online ISBN: 978-3-540-39221-7

  • eBook Packages: Springer Book Archive

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