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Lattice normality and outer measures

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  • Panagiotis D. Stratigos

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.

Suggested Citation

  • Panagiotis D. Stratigos, 1993. "Lattice normality and outer measures," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:208203
    DOI: 10.1155/S016117129300002X
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