Minimal basically disconnected covers of some extensions
Commun. Korean Math. Soc. 2002 Vol. 17, No. 4, 709-718 Printed December 1, 2002
Chang Il Kim, Kap Hun Jung DanKook University, DanKook University
Abstract : Observing that each Tychonoff space X has the minimal basically disconnected cover $(\Lambda$X, $\Lambda_X)$ and the realcompactification $\upsilon$X, we introduce a concept of stable $\sigma$Z(X)$^\#$-ultrafilters and give internal characterizations of Tychonoff spaces X for which $\Lambda(\upsilon$X) = $\upsilon(\Lambda$X).
