Lattice normality and outer measures

Panagiotis D. Stratigos

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-10

Abstract:

A lattice space is defined to be an ordered pair whose first component is an arbitrary set X and whose second component is an arbitrary lattice L of subsets of X . A lattice space is a generalization of a topological space. The concept of lattice normality plays an important role in the study of lattice spaces.

The present work establishes various relationships between normality of lattices of subsets of X and certain “outer measures“ induced by measures associated with the algebras of subsets of X generated by these lattices.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:208203

DOI: 10.1155/S016117129300002X

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