Swamy, U. M.; Santhi Sundar Raj, Ch.; Venkateswarlu, B.; Ramesh, S. Compactifications of discrete spaces. (English) Zbl 1187.54025 Int. J. Contemp. Math. Sci. 4, No. 21-24, 1079-1084 (2009). 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 Keywords:compactification; Stone-Čech compactification; Boolean algebra; ultra filters; Stone space PDFBibTeX XMLCite \textit{U. M. Swamy} et al., Int. J. Contemp. Math. Sci. 4, No. 21--24, 1079--1084 (2009; Zbl 1187.54025) Full Text: Link