Characterization of Partial Lattices on Countable Boolean Lattice
In this paper new concepts countable join property, countable meet property, P–lattice and Pδ–lattice are introduced. We established that P–lattice and Pδ–lattice are measureable partial lattices and characterized partial lattices of a lattice through countable join and meet properties. We also established some interesting result on the injective property of the lattice measurable functions defined over countable Boolean lattices.
