International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 8, Pages 549-558
doi:10.1155/S0161171201004951
Abstract
This paper deals with problems on LQ𝒰 spaces which
have a nested base; among others we give conditions so that a
space (X,τ1,τ2) admits an LQ𝒰𝒰 which generates τ1 and 𝒰−1τ2, and give
necessary and sufficient conditions for a space to be
quasi-metrizable, related to concrete covering properties. We also
give a Stone's type characterization of pairwise paracompactness
for some categories of LQ𝒰 spaces with nested bases.