Topological Aspects of the Product of Lattices
Copyright policy )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, and M(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 zero‐one valued measures. The paper gives detailed analysis of products of lattices, their associated Wallman spaces, and products of a variety of measures.
- Pace University United States
Wallman spaces, products of lattices, QA1-939, Topological lattices, Contents, measures, outer measures, capacities, Set functions and measures on topological spaces (regularity of measures, etc.), product measures, finitely additive measures, Mathematics
Wallman spaces, products of lattices, QA1-939, Topological lattices, Contents, measures, outer measures, capacities, Set functions and measures on topological spaces (regularity of measures, etc.), product measures, finitely additive measures, Mathematics
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