Continuous transformation of Baire measures into Lebesgue measure
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- by Hans G. Kellerer PDF
- Proc. Amer. Math. Soc. 130 (2002), 2305-2309 Request permission
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.References
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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
- Received by editor(s): January 5, 2001
- Published electronically: March 8, 2002
- Communicated by: David Preiss
- © Copyright 2002 American Mathematical Society
- 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
- MathSciNet review: 1896412