Kaori Yamazaki (2004)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We prove for a subspace of a -space , is (strictly) Aull-paracompact in and is Hausdorff in if and only if is strongly star-normal in . This result provides affirmative answers to questions of A.V. Arhangel’skii–I.Ju. Gordienko [3] and of A.V. Arhangel’skii [2].
Shinji Kawaguchi, Ryoken Sokei (2005)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Paracompactness (-paracompactness) and normality of a subspace in a space defined by Arhangel’skii and Genedi [4] are fundamental in the study of relative topological properties ([2], [3]). These notions have been investigated by primary using of the notion of weak - or weak -embeddings, which are extension properties of functions defined in [2] or [18]. In fact, Bella and Yaschenko [8] characterized Tychonoff spaces which are normal in every larger Tychonoff space, and this result...
Raushan Z. Buzyakova (2002)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
It is shown that every strong space is a -space. In particular, it follows that every paracompact space is a -space.