International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 4, Pages 653-656
doi:10.1155/S0161171293000808

Totally disconnected compactifications

Parfeny P. Saworotnow

Department of Mathematics, The Catholic University of America, Washington, DC 20064, USA

Abstract

There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.