The Distribution Function and Measure Preserving Maps

Behrouz Emamizadeh

doi:rae/1300108090

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Home > Journals > Real Anal. Exchange > Volume 36 > Issue 1 > Article

2010/2011 The Distribution Function and Measure Preserving Maps

Behrouz Emamizadeh

Real Anal. Exchange 36(1): 161-168 (2010/2011).

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Abstract

Existence of measure preserving maps has been discussed in books on real analysis where the Axiom of Choice is instrumental. In this note we introduce a method to \textit{construct} such maps. For our construction we use the distribution function and elementary differential equations.