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manuscripta mathematica

, Volume 8, Issue 1, pp 1–10 | Cite as

A weak existence theorem and weak permanence properties for strong liftings

  • Klaus Bichteler
Article

Abstract

On a locally compact space with a first-uncountable basis for its topology every positive Radon measure is majorized by an upper integral which admits a strong lifting. The set of B-continuous measures on any space that are majorized by an upper integral with strong lifting forms a band.

Keywords

Number Theory Algebraic Geometry Topological Group Existence Theorem Compact Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    BICHTELER, K.: On the integration of Radon measures and set functions. manuscripta math.7,215–249 (1972)Google Scholar
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    BICHTELER, K.: On the strong lifting property. To appear.Google Scholar
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    BICHTELER, K.: An existence theorem for strong liftings. J. Math. Anal. Appl.33 (1971) 20–22.Google Scholar
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    BICHTELER, K.: A reduction of the strong lifting problem. Inventiones Math.11 (1971) 159–162.Google Scholar
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    IONESCU-TULCEA, A. and IONESCU-TULCEA, C.: Topics in the theory of lifting. New York: Springer, 1969.Google Scholar
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    IONESCU-TULCEA, C. and R. MAHER. Preprint on permanence properties of strong liftings.Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Klaus Bichteler
    • 1
  1. 1.Department of MathematicsThe University of Texas at AustinAustin

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