Structure of Tchebychev sets
Structure of the set of compatible proximities when the set is finite
Structure resolvability
We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.
Structure spaces for rings of continuous functions with applications to realcompactifications
Let X be a completely regular space and let A(X) be a ring of continuous real-valued functions on X which is closed under local bounded inversion. We show that the structure space of A(X) is homeomorphic to a quotient of the Stone-Čech compactification of X. We use this result to show that any realcompactification of X is homeomorphic to a subspace of the structure space of some ring of continuous functions A(X).
Structures quasi-métriques
Structures quasi-métriques (suite)
Structures ultra-uniformes et espaces éparpillés
Struktur- und Anzahlformeln für Topologien auf endlichen Mengen.
Strutture di convergenza per filtri
Study of -closed sets and the related notions in topological spaces.
Su un universo di dispositivi monotoni
Subbase characterization of special spaces
Subbase structures in nearness spaces
Subcategories with cartesian closed coreflective hull
Subcontinua of inverse limit spaces of unimodal maps
We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal maps as...
Subcontra-continuous functions.
Subespacios de primera categoría en espacios vectoriales topológicos de Baire.
Subgroups and products of -factorizable -groups
We show that every subgroup of an -factorizable abelian -group is topologically isomorphic to a closed subgroup of another -factorizable abelian -group. This implies that closed subgroups of -factorizable -groups are not necessarily -factorizable. We also prove that if a Hausdorff space of countable pseudocharacter is a continuous image of a product of -spaces and the space is pseudo--compact, then . In particular, direct products of -factorizable -groups are -factorizable and...
Subgroups of -factorizable groups.
Subgroups of -factorizable groups
The properties of -factorizable groups and their subgroups are studied. We show that a locally compact group is -factorizable if and only if is -compact. It is proved that a subgroup of an -factorizable group is -factorizable if and only if is -embedded in . Therefore, a subgroup of an -factorizable group need not be -factorizable, and we present a method for constructing non--factorizable dense subgroups of a special class of -factorizable groups. Finally, we construct a closed...