Closed graph multi-selections

Valentin Gutev

Fundamenta Mathematicae (2011)

  • Volume: 211, Issue: 1, page 85-99
  • ISSN: 0016-2736

Abstract

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A classical Lefschetz result about point-finite open covers of normal spaces is generalised by showing that every lower semi-continuous mapping from a normal space into the nonempty compact subsets of a metrizable space admits a closed graph multi-selection. Several applications are given as well.

How to cite

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Valentin Gutev. "Closed graph multi-selections." Fundamenta Mathematicae 211.1 (2011): 85-99. <http://eudml.org/doc/283075>.

@article{ValentinGutev2011,
abstract = {A classical Lefschetz result about point-finite open covers of normal spaces is generalised by showing that every lower semi-continuous mapping from a normal space into the nonempty compact subsets of a metrizable space admits a closed graph multi-selection. Several applications are given as well.},
author = {Valentin Gutev},
journal = {Fundamenta Mathematicae},
keywords = {set-valued mapping; lower semicontinuous; closed graph; multi-selection; normal; paracompact},
language = {eng},
number = {1},
pages = {85-99},
title = {Closed graph multi-selections},
url = {http://eudml.org/doc/283075},
volume = {211},
year = {2011},
}

TY - JOUR
AU - Valentin Gutev
TI - Closed graph multi-selections
JO - Fundamenta Mathematicae
PY - 2011
VL - 211
IS - 1
SP - 85
EP - 99
AB - A classical Lefschetz result about point-finite open covers of normal spaces is generalised by showing that every lower semi-continuous mapping from a normal space into the nonempty compact subsets of a metrizable space admits a closed graph multi-selection. Several applications are given as well.
LA - eng
KW - set-valued mapping; lower semicontinuous; closed graph; multi-selection; normal; paracompact
UR - http://eudml.org/doc/283075
ER -

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