Topological Aspects of the Product of Lattices

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Topological Aspects of the Product of Lattices

Let X be an arbitrary nonempty set and L a lattice of subsets of X such that ∅, X ∈ L. A L denotes the algebra generated by L, andM L denotes those nonnegative, finite, finitely additive measures on A L . In addition, I L denotes the subset of M L which consists of the nontrivial zeroone valued measures. The paper gives detailed analysis of products of lattices, their associated Wallman spaces,...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2011

ISSN: 0161-1712,1687-0425

DOI: 10.1155/2011/920737