International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 4, Pages 687-694
doi:10.1155/S0161171293000869

Outer measures and associated lattice properties

Abstract

Zero-one measure characterizations of lattice properties such as normality are extended to more general measures. For a given measure, we consider two associated "outer" measures and attempt to obtain the "outer"-measurable sets. We also seek necessary and sufficient conditions for the measure and outer measures to be equal on the lattice or its complement.