A new theorem in the theory of first return representations of Baire class one functions of a real variable is presented which has as immediate consequences several known characterizations of standard subclasses of the Baire one functions. Further, this theorem yields new insights into how finely Baire one functions can be recovered and yields a characterization of another subclass of Baire one functions.
@article{bwmeta1.element.bwnjournal-article-fmv155i2p177bwm,
author = {Udayan Darji and Michael Evans and Chris Freiling and Richard O'Malley},
title = {Fine properties of Baire one functions},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {177-188},
zbl = {0904.26003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv155i2p177bwm}
}
Darji, Udayan; Evans, Michael; Freiling, Chris; O'Malley, Richard. Fine properties of Baire one functions. Fundamenta Mathematicae, Tome 158 (1998) pp. 177-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv155i2p177bwm/
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