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/