Lattice normality and outer measures (Q1204375)

Summary: 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 \(\mathcal L\) 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.