International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 3, Pages 441-445
doi:10.1155/S0161171294000633
Regular measures and normal lattices
Carmen Vlad
Department of Mathematics, Pace University/NYC campus, Pace Plaza, New York 10038-1502, NY, USA
Abstract
In this paper, we investigate M(ℒ) in case ℒ is a normal lattice of subsets of X and we extend the results to ℒ1, ℒ2-lattices of subsets of X, such that ℒ1⊂ℒ2 and ℒ1 separates ℒ2. We define the outer measures μ′ and μ″ which prove very useful in proving some of the above results.