On maximal measures with respect to a lattice
James Camacho · International Journal of Mathematics and Mathematical Sciences · 1991
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non‐negative finitely additive measure on the algebra generated by the lattice. Finally these general results are used to consider σ‐smooth measures with respect to the lattice when further conditions on the lattice hold.