External Characterization of I-Favorable Spaces

Valov, Vesko. "External Characterization of I-Favorable Spaces." Mathematica Balkanica New Series 25.1-2 (2011): 61-78. <http://eudml.org/doc/281506>.

@article{Valov2011,
abstract = {1991 AMS Math. Subj. Class.:Primary 54C10; Secondary 54F65We provide both a spectral and an internal characterizations of arbitrary !-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact !-favorable spaces with respect to co-zero sets is also !-favorable with respect to co-zero sets. We also prove that every C* -embedded !-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.},
author = {Valov, Vesko},
journal = {Mathematica Balkanica New Series},
keywords = {compact spaces; continuous inverse systems; I-favorable spaces; skeletal maps; -favorable spaces; topological games; product; -embedding; extremally disconnected},
language = {eng},
number = {1-2},
pages = {61-78},
publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},
title = {External Characterization of I-Favorable Spaces},
url = {http://eudml.org/doc/281506},
volume = {25},
year = {2011},
}

TY - JOUR
AU - Valov, Vesko
TI - External Characterization of I-Favorable Spaces
JO - Mathematica Balkanica New Series
PY - 2011
PB - Bulgarian Academy of Sciences - National Committee for Mathematics
VL - 25
IS - 1-2
SP - 61
EP - 78
AB - 1991 AMS Math. Subj. Class.:Primary 54C10; Secondary 54F65We provide both a spectral and an internal characterizations of arbitrary !-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact !-favorable spaces with respect to co-zero sets is also !-favorable with respect to co-zero sets. We also prove that every C* -embedded !-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.
LA - eng
KW - compact spaces; continuous inverse systems; I-favorable spaces; skeletal maps; -favorable spaces; topological games; product; -embedding; extremally disconnected
UR - http://eudml.org/doc/281506
ER -