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
Received 6 June 1990; Revised 4 October 1990

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.