The distribution function and measure preserving maps

Behrouz Emamizadeh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 construct such maps. For our construction we use the distribution function and elementary differential equations.

Original languageEnglish
Pages (from-to)161-168
Number of pages8
JournalReal Analysis Exchange
Issue number1
Publication statusPublished - 2011


  • Distribution function-Differential equations
  • Measure preserving maps
  • Saint-Venant equation


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