𝓤-filters and uniform compactification
We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.
Finite point compactifications of (N, +).
First order topology [Book]
Functions with continuous Wallman extensions
Fuzzy topological triples
Gamma-compactification of measurable spaces.
Generalized fuzzy compactness in -topological spaces.
Generalized linearly ordered spaces and weak pseudocompactness
A space is truly weakly pseudocompact if is either weakly pseudocompact or Lindelöf locally compact. We prove that if is a generalized linearly ordered space, and either (i) each proper open interval in is truly weakly pseudocompact, or (ii) is paracompact and each point of has a truly weakly pseudocompact neighborhood, then is truly weakly pseudocompact. We also answer a question about weakly pseudocompact spaces posed by F. Eckertson in [Eck].
Generation of coreflections in categories
Geometry of compactifications of locally symmetric spaces
For a locally symmetric space , we define a compactification which we call the “geodesic compactification”. It is constructed by adding limit points in to certain geodesics in . The geodesic compactification arises in other contexts. Two general constructions of Gromov for an ideal boundary of a Riemannian manifold give for locally symmetric spaces. Moreover, has a natural group theoretic construction using the Tits building. The geodesic compactification plays two fundamental roles in...
Green's L-relation for semigroups and compactifications.
Green's L-relation for semigroups and compactifications. (Short Communication).
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
Ideals of the Stone-Cech compactification of semigroups.
Ideals of uniformly continuous mappings on pseudometric spaces