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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Continuous transformation of Baire measures into Lebesgue measure


Author: Hans G. Kellerer
Journal: Proc. Amer. Math. Soc. 130 (2002), 2305-2309
MSC (2000): Primary 28C15; Secondary 46G10
DOI: https://doi.org/10.1090/S0002-9939-02-06505-X
Published electronically: March 8, 2002
MathSciNet review: 1896412
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Abstract: A recent result by Wulbert on the existence of continuous functions with measure zero level sets is slightly extended and its proof is considerably simplified. As a by-product, a criterion is established for a Baire measure to allow a continuous transformation into Lebesgue measure.


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Additional Information

Hans G. Kellerer
Affiliation: Mathematisches Institut der Universitaet Muenchen, Theresienstrasse 39, D-80333 Munich, Germany
Email: hans_g.kellerer@mathematik.uni-muenchen.de

DOI: https://doi.org/10.1090/S0002-9939-02-06505-X
Keywords: Baire measures, measure transformation, Lebesgue measure
Received by editor(s): January 5, 2001
Published electronically: March 8, 2002
Communicated by: David Preiss
Article copyright: © Copyright 2002 American Mathematical Society