Ranks for baire multifunctions

Volume 95 / 2003

Pandelis Dodos Colloquium Mathematicum 95 (2003), 63-77 MSC: 03E15, 26A21, 54C60. DOI: 10.4064/cm95-1-6


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.


  • Pandelis DodosDepartment of Mathematics
    Faculty of Applied Sciences
    National Technical University of Athens
    Athens, Greece

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