%0 Journal Article
%T Measure characterizations and properties of normal and regular lattices
%A Peter M. Grassi
%J International Journal of Mathematics and Mathematical Sciences
%D 1991
%I Hindawi Publishing Corporation
%R 10.1155/s0161171291000455
%X Various equivalent characterizations of normality are considered and a measure theoretic definition is given for strongly normal lattices. Measure conditions related to the apace of     -smooth, lattice-regular, 0 ¡é   ¡¯1 measures are noted which imply, or are equivalent to, the space being Hausdorff, regular, or prime complete.
%K lattice
%K zero-one measures
%K sigma-smooth
%K normal
%K regular
%K Hausdorff
%K prime complete
%K strongly normal
%K filter
%K disjunctive.
%U http://dx.doi.org/10.1155/S0161171291000455