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Kaori Yamazaki )KF=H=?F=?JAII =@ IJHC IJ=HH=EJO B IK>IF=?AI E JFCE?= IF=?AI

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Kaori Yamazaki

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

Comment.Math.Univ.Carolinae 45,4 (2004) 743-747.

Abstract: We prove for a subspace Y of a T1-space X, Y is (strictly) Aull- paracompact inX andY is Hausdorff inXif and only ifY 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].

Keywords: Aull-paracompactness ofY in X, strong star-normality ofY in X AMS Subject Classification: 54D20, 54B05

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