International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 1, Pages 31-38
doi:10.1155/S0161171290000047

On normal lattices and Wallman spaces

George M. Eid

Department of Mathematics, John Jay College of Criminal Justice, The City University of New York, 445 West 59th Street, New York 10019, NY, USA

Abstract

Let X be an abstract set and Ω a lattice of subsets of X. The notion of Ω being mildly normal or slightly normal is investigated. Also, the general Wallman space with an alternate topology is investigated, and for Ω not necessarily disjunctive, an analogue of the Wallman space is constructed.