A Nonseparable Extension of the Lebesgue Measure Without New Nullsets
A. B. Kharazishvili
Source: Real Anal. Exchange Volume 33, Number 1 (2007), 263-274.
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.
Primary Subjects: 28A05, 28D05
Keywords: Continuum Hypothesis; measure extension problem; Lebesgue measure; nullset; nonseparable extension of measure
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1209398393
Real Analysis Exchange