Aull-paracompactness and strong star-normality of subspaces in topological spaces

@article{Yamazaki2004,
abstract = {We prove for a subspace $Y$ of a $T_1$-space $X$, $Y$ is (strictly) Aull-paracompact in $X$ and $Y$ is Hausdorff in $X$ if and only if $Y$ is strongly star-normal in $X$. This result provides affirmative answers to questions of A.V. Arhangel’skii–I.Ju. Gordienko [3] and of A.V. Arhangel’skii [2].},
author = {Yamazaki, Kaori},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Aull-paracompactness of $Y$ in $X$; strong star-normality of $Y$ in $X$; Aull-paracompactness of in ; strong star-normality of in ; fully normal space; paracompact space},
language = {eng},
number = {4},
pages = {743-747},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Aull-paracompactness and strong star-normality of subspaces in topological spaces},
url = {http://eudml.org/doc/249377},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Yamazaki, Kaori
TI - Aull-paracompactness and strong star-normality of subspaces in topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 4
SP - 743
EP - 747
AB - We prove for a subspace $Y$ of a $T_1$-space $X$, $Y$ is (strictly) Aull-paracompact in $X$ and $Y$ is Hausdorff in $X$ if and only if $Y$ is strongly star-normal in $X$. This result provides affirmative answers to questions of A.V. Arhangel’skii–I.Ju. Gordienko [3] and of A.V. Arhangel’skii [2].
LA - eng
KW - Aull-paracompactness of $Y$ in $X$; strong star-normality of $Y$ in $X$; Aull-paracompactness of in ; strong star-normality of in ; fully normal space; paracompact space
UR - http://eudml.org/doc/249377
ER -