Hausdorff compactifications of completely regular spaces
Hausdorff completions of quasi-uniform spaces
Hausdorff spaces and the closed intersection property
H-closed extensions with countable remainder
This paper investigates necessary and sufficient conditions for a space to have an H-closed extension with countable remainder. For countable spaces we are able to give two characterizations of those spaces admitting an H-closed extension with countable remainder. The general case is more difficult, however, we arrive at a necessary condition — a generalization of Čech completeness, and several sufficient conditions for a space to have an H-closed extension with countable remainder. In particular,...
Homogeneity of βG if G is a topological group
Hyperspaces of noncompact metric spaces