Various ordinal ranks for Baire-1 real-valued functions, which have been used in the literature, are adapted to provide ranks for Baire-1 multifunctions. A new rank is also introduced which, roughly speaking, gives an estimate of how far a Baire-1 multifunction is from being upper semicontinuous.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-6,
author = {Pandelis Dodos},
title = {Ranks for baire multifunctions},
journal = {Colloquium Mathematicae},
volume = {96},
year = {2003},
pages = {63-77},
zbl = {1013.03050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-6}
}
Pandelis Dodos. Ranks for baire multifunctions. Colloquium Mathematicae, Tome 96 (2003) pp. 63-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-1-6/