×

Compactifications of discrete spaces. (English) Zbl 1187.54025

Summary: Compactifications of an infinite discrete space \(D\) are discussed. Equivalent conditions are obtained for a compactification of \(D\) to be totally disconnected. The existence of infinite compactifications of \(D\) which are totally disconnected is proved.

MSC:

54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54D60 Realcompactness and realcompactification
PDFBibTeX XMLCite
Full Text: Link