International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 3, Pages 503-506
doi:10.1155/S0161171288000596

The Smirnov compactification as a quotient space of the Stone-Čech compactification

T.B.M. McMaster

Pure Mathematics Department, Queen' s University, Belfast BT7 1NN, Ireland

Abstract

For a separated proximity space, a decomposition of the Stone-Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities.