Abstract
Under the Continuum Hypothesis, it is shown that there exists a nonseparable extension of the Lebesgue measure on the real line whose nullsets coincide with the nullsets in the Lebesgue sense.
Citation
A. B. Kharazishvili. "A Nonseparable Extension of the Lebesgue Measure Without New Nullsets." Real Anal. Exchange 33 (1) 263 - 274, 2007/2008.
Information
Published: 2007/2008
First available in Project Euclid: 28 April 2008
zbMATH: 1149.28002
MathSciNet: MR2402878
Subjects:
Primary:
28A05
,
28D05
Keywords:
Continuum hypothesis
,
Lebesgue measure
,
measure extension problem
,
nonseparable extension of measure
,
nullset
Rights: Copyright © 2007 Michigan State University Press
