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

Takamitsu Yamauchi. "Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets." Bulletin of the Polish Academy of Sciences. Mathematics 56.2 (2008): 149-161. <http://eudml.org/doc/281266>.

@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 -