Ranks for baire multifunctions

Pandelis Dodos

Colloquium Mathematicae (2003)

  • Volume: 95, Issue: 1, page 63-77
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Pandelis Dodos. "Ranks for baire multifunctions." Colloquium Mathematicae 95.1 (2003): 63-77. <http://eudml.org/doc/284389>.

@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 -

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