Collectionwise normality in screenable spaces

A Note on Complete Collectionwise Normality and Paracompactness

1. A question that has aroused considerable interest and which has remained unanswered is the following. Is a normal Moore space metrizable? Both R. H. Bing and F. B. Jones have important results which go a long way toward answering this question. For example, Bing has proved that a collectionwise normal Moore space is metrizable [l ] while Jones has shown that a separable normal Moore space is...

Some Screenable, Σ-relatively Discrete Dowker Spaces

Dowker spaces (that is, normal spaces that are not countably metacompact) are constructed which are also screenable and the countable union of discrete subspaces. The constructions and proofs are easy modifications of the ones for Balogh’s screenable Dowker space [B1]. Balogh’s example is presented alongside the modifications in a new exposition with several new results common to these spaces, ...

σ-Normality of Topological Spaces

σ-normality of topological spaces

Normality and non-normality of group compactifications in simple projective spaces

If G is a complex simply connected semisimple algebraic group and if λ is a dominant weight, we consider the compactification Xλ ⊂ P (