Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets

@article{TakamitsuYamauchi2008,
abstract = {Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.},
author = {Takamitsu Yamauchi},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Banach space; continuous selection; multifunctions; Michael's theorem},
language = {eng},
number = {2},
pages = {149-161},
title = {Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets},
url = {http://eudml.org/doc/281266},
volume = {56},
year = {2008},
}

TY - JOUR
AU - Takamitsu Yamauchi
TI - Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2008
VL - 56
IS - 2
SP - 149
EP - 161
AB - Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.
LA - eng
KW - Banach space; continuous selection; multifunctions; Michael's theorem
UR - http://eudml.org/doc/281266
ER -