Sets of Functions Generating Compactifications via Uniformities. Connectedness

Abstract

E. Wajch of C*(X) which determine compactifications of X. Finally, let £(X) be the family of all sets F C C*(X) such that the diagonal mapping ep = A/^f! is homeomorphic embedding. If F 6 £{X), then the closure of ep(X) in is a compactification of X. This compactification is said to be generated by F. We denote it by e F X (cf. [