Topological Aspects of the Product of Lattices

Carmen Vlad

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-9

Abstract:

Let ð — be an arbitrary nonempty set and ð ‹ a lattice of subsets of ð — such that ∅ , X ∈ L . ð € ( ð ‹ ) denotes the algebra generated by ð ‹ , and ð Œ ( ð ‹ ) denotes those nonnegative, finite, finitely additive measures on ð € ( ð ‹ ). In addition, ð ˆ ( ð ‹ ) denotes the subset of ð Œ ( ð ‹ ) which consists of the nontrivial zero-one valued measures. The paper gives detailed analysis of products of lattices, their associated Wallman spaces, and products of a variety of measures.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:920737

DOI: 10.1155/2011/920737

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