We develop a calculus for the oscillation index of Baire one functions using gauges analogous to the modulus of continuity.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm210-2-1,
author = {Denny H. Leung and Wee-Kee Tang and Atok Zulijanto},
title = {A gauge approach to an ordinal index of Baire one functions},
journal = {Fundamenta Mathematicae},
volume = {209},
year = {2010},
pages = {99-109},
zbl = {1217.26004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm210-2-1}
}
Denny H. Leung; Wee-Kee Tang; Atok Zulijanto. A gauge approach to an ordinal index of Baire one functions. Fundamenta Mathematicae, Tome 209 (2010) pp. 99-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm210-2-1/