Measure characterizations and properties of normal and regular lattices

Peter M. Grassi

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-8

Abstract:

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 σ -smooth, lattice-regular, 0 − 1 measures are noted which imply, or are equivalent to, the space being Hausdorff, regular, or prime complete.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:940569

DOI: 10.1155/S0161171291000455

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