International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 2, Pages 325-338
doi:10.1155/S016117129100039X

On separation of lattices

Mabel Szeto

Department of Mathematics, College of Staten Island, The City University of New York, 130 Stuyvesant Place, Staten Island, 10301, New York, USA

Abstract

Separation properties of a lattice of subsets of an arbitrary set or separation properties between a pair of such lattices have strong implications on the associated lattice regular measures and conversely. A number of such relationships are investigated and applications given to topological lattices in a topological space.