Relative star normal type

In their study of relative metric spaces, Arkhangelʹskiĭ and Gordienko introduce several relative properties of paracompactness type. We investigate the relationships between these properties and other relative properties of paracompactness type and answer two questions raised by Arkhangelʹskiĭ and Gordienko. Theorem s strongly regular in X and 3 paracompact in X then Y is star normal in X. em trongly star normal in X if and only if Y is Aull paracompact in X. lary s strongly star normal in X then Y is 2-paracompact in X. lary s properly metrizable in X then Y is strongly star normal in X.