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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{PandelisDodos2003, abstract = {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.}, author = {Pandelis Dodos}, journal = {Colloquium Mathematicae}, keywords = {Baire-1 multifunctions; ranks}, language = {eng}, number = {1}, pages = {63-77}, title = {Ranks for baire multifunctions}, url = {http://eudml.org/doc/284389}, volume = {95}, year = {2003}, }
TY - JOUR AU - Pandelis Dodos TI - Ranks for baire multifunctions JO - Colloquium Mathematicae PY - 2003 VL - 95 IS - 1 SP - 63 EP - 77 AB - 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. LA - eng KW - Baire-1 multifunctions; ranks UR - http://eudml.org/doc/284389 ER -