Abstract

The notion of bitopological full normality is introduced. Along with other results, we prove a bitopological version of A. H. Stone's theorem on paracompactness: A Hausdorff topological space is paracompact if and only if it is fully normal.

Keywords: Pairwise paracompact spaces; pairwise fully normal spaces; shrinkable pairwise open cover.

MSC: 54E55

Pages:  11$-$18     

Volume  62 ,  Issue  1 ,  2010