Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Some versions of relative paracompactness and their absolute embeddings

Shinji Kawaguchi — 2007

Commentationes Mathematicae Universitatis Carolinae

Arhangel’skii [Sci. Math. Jpn. 55 (2002), 153–201] defined notions of relative paracompactness in terms of locally finite open partial refinement and asked if one can generalize the notions above to the well known Michael’s criteria of paracompactness in [17] and [18]. In this paper, we consider some versions of relative paracompactness defined by locally finite (not necessarily open) partial refinement or locally finite closed partial refinement, and also consider closure-preserving cases, such...

Some relative properties on normality and paracompactness, and their absolute embeddings

Shinji Kawaguchi;  Ryoken Sokei — 2005

Commentationes Mathematicae Universitatis Carolinae

Paracompactness ( = 2 -paracompactness) and normality of a subspace Y in a space X 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 C - or weak P -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 is essentially...

Page 1

Download Results (CSV)