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.