A New Characterization of Baire Class 1 Functions
Luca Motto Ros
Source: Real Anal. Exchange Volume 34, Number 1
(2008), 29-48.
Abstract
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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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1242738918
Zentralblatt MATH identifier: 05578212
Mathematical Reviews number (MathSciNet): MR2527120
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