• CHARACTERIZATION OF CLASS OF ATOMS IN LATTICE SIGMA ALGEBRAS

Abstract

This paper describes a class of null sets, lattice measure of an atom and lattice semi-finite measure. It has been established a result that the lattice measure of any two atoms are either disjoint or identical. In fact it has been proved that the class of all atoms in lattice sigma algebra is countable. Finally it has been observed various elementary characteristics of atoms in lattice sigma algebra.