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2008/2009 A New Characterization of Baire Class 1 Functions
Luca Motto Ros
Real Anal. Exchange 34(1): 29-48 (2008/2009).


We give a new characterization of the Baire class $1$ functions (defined on an ultrametric space) by proving that they are exactly the pointwise limits of sequences of full functions, which are particularly simple Lipschitz functions. Moreover we highlight the link between the two classical stratifications of the Borel functions by showing that the Baire class functions of some level are exactly those obtained as uniform limits of sequences of Delta functions of a corresponding level.


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Luca Motto Ros. "A New Characterization of Baire Class 1 Functions." Real Anal. Exchange 34 (1) 29 - 48, 2008/2009.


Published: 2008/2009
First available in Project Euclid: 19 May 2009

zbMATH: 1181.03048
MathSciNet: MR2527120

Primary: 03E15 , 54H05

Keywords: Baire class 1 functions , Delta functions , Lipschitz functions

Rights: Copyright © 2008 Michigan State University Press

Vol.34 • No. 1 • 2008/2009
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