Geodesic
Aull-paracompactness and strong star-normality of subspaces in topological spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 743-747.

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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].
Classification : 54B05, 54D20
Keywords: Aull-paracompactness of $Y$ in $X$; strong star-normality of $Y$ in $X$ 
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     title = {Aull-paracompactness and strong star-normality of subspaces in topological spaces},
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Yamazaki, Kaori. Aull-paracompactness and strong star-normality of subspaces in topological spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 743-747. http://geodesic.mathdoc.fr/item/CMUC_2004__45_4_a14/