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arXiv:0804.4443 [math.LO]AbstractReferencesReviewsResources

A new characterization of Baire class 1 functions

L. Motto Ros

Published 2008-04-28, updated 2008-04-29Version 2

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).

Comments: 16 pages; corrected typos and affiliation
Journal: Real Analysis Exchange 34 (2008/2009), no. 1, 29-48
Categories: math.LO, math.GN
Subjects: 03E15, 54H05
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