Specker-Kompaktifizierungen von lokal kompakten topologischen Gruppen.
Strict completions of -groups
Strong remote points.
Strong remote points
Remote points constructed so far are actually strong remote. But we construct remote points of another type.
Strong shape of the Stone-Čech compactification
J. Keesling has shown that for connected spaces the natural inclusion of in its Stone-Čech compactification is a shape equivalence if and only if is pseudocompact. This paper establishes the analogous result for strong shape. Moreover, pseudocompact spaces are characterized as spaces which admit compact resolutions, which improves a result of I. Lončar.
Strongly summable ultrafilters on N and small maximal subgroups of ßN.
Subprincipal closed ideals in ßN.
Sum theorems for Ohio completeness
We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking σ-locally finite closed sums and also by taking point-finite open sums. We provide counterexamples to show that Ohio completeness is preserved neither by taking locally countable closed sums nor by taking countable open sums.
Superextensions and Lefschetz fixed point structures
Superextensions of metrizable continua are Hilbert cubes
Sur la compactification de Stone-Čech d'un espace de convergence
-frames and almost compact frames
-catégories (catégories dans un triple)
-spaces and the Wallman compactification.
Tensor products with bounded continuous functions.
The Banach algebra of continuous bounded functions with separable support
We prove a commutative Gelfand-Naimark type theorem, by showing that the set of continuous bounded (real or complex valued) functions with separable support on a locally separable metrizable space X (provided with the supremum norm) is a Banach algebra, isometrically isomorphic to C₀(Y) for some unique (up to homeomorphism) locally compact Hausdorff space Y. The space Y, which we explicitly construct as a subspace of the Stone-Čech compactification of X, is countably compact, and if X is non-separable,...
The category of compactifications and its coreflections
We define “the category of compactifications”, which is denoted CM, and consider its family of coreflections, denoted corCM. We show that corCM is a complete lattice with bottom the identity and top an interpretation of the Čech–Stone . A corCM implies the assignment to each locally compact, noncompact a compactification minimum for membership in the “object-range” of . We describe the minimum proper compactifications of locally compact, noncompact spaces, show that these generate the atoms...
The classes of mutual compactificability.
The compactificability classes of certain spaces.
The compactificability classes: The behavior at infinity.