International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 3, Pages 441-445
doi:10.1155/S0161171294000633
Regular measures and normal lattices
Department of Mathematics, Pace University/NYC campus, Pace Plaza, New York 10038-1502, NY, USA
Received 26 August 1992; Revised 27 December 1992
Copyright © 1994 Carmen Vlad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.