Open Access
2010/2011 The Distribution Function and Measure Preserving Maps
Behrouz Emamizadeh
Real Anal. Exchange 36(1): 161-168 (2010/2011).


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.


Download Citation

Behrouz Emamizadeh. "The Distribution Function and Measure Preserving Maps." Real Anal. Exchange 36 (1) 161 - 168, 2010/2011.


Published: 2010/2011
First available in Project Euclid: 14 March 2011

zbMATH: 1244.54041
MathSciNet: MR3016409

Primary: 34B05 , ‎54C30
Secondary: 35J25

Keywords: Differential equations , distribution function , measure preserving maps , Saint-Venant equation

Rights: Copyright © 2010 Michigan State University Press

Vol.36 • No. 1 • 2010/2011
Back to Top