DefinePK

Abstract

This paper describes that countable join (meet) of members of subsets of L, meet (join) of countable join (meet) of members of subsets of L, a measure on a Boolean lattice, outer measure of a partial lattice induced by a measure. Some properties of outer measure are verified and established that the measure and outer measure of any partial lattice in a Boolean lattice are equal and the compliment of partial lattice is also a partial lattice, also define measurability of any partial lattice in a countable Boolean lattice L. Finally verifies that the equivalent conditions of various forms of Littlewoods’s first principle using Ls, Ld, Lsd, Lds.