On compactness of lattices

Carmen D. Vlad

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-9

Abstract:

Let X be an arbitrary set and L a lattice of subsets of X . We denote by I ( L ) the set of those zero-one-valued nontrivial, finitely additive measures on A ( L ) , the algebra generated by L , and we introduce other subsets of I ( L ) . We study compactness/normality properties either relating to a single lattice L or relating to a pair of lattices L 1 ⊂ L 2 of subsets of X .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:654834

DOI: 10.1155/IJMMS.2005.2565

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