Strict Uniformity in Ergodic Theory.
Strictly ergodic, uniform positive entropy models
Strong convergence and Dini theorems for non-uniform spaces
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.
Strong shape theory [Book]
Stronger topologies preserving the class of continuous functions
Strongly homotopically stabile points
Strongly irresolvable spaces.
Strongly paracompact metrizable spaces
Strongly paracompact metrizable spaces are characterized in terms of special S-maps onto metrizable non-Archimedean spaces. A similar characterization of strongly metrizable spaces is obtained as well. The approach is based on a sieve-construction of "metric"-continuous pseudo-sections of lower semicontinuous mappings.
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).
Study of -closed sets and the related notions in topological spaces.
Su un universo di dispositivi monotoni
Subcontra-continuous functions.
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...
Subopen multifunctions and selections
Subparacompact Inverse Images of 2-subparacompact Spaces
Subspaces in abstract Stone duality.
Subweakly -continuous functions.
Suites spectrales de Serre en homotopie
Beaucoup d’informations sur les groupes de cohomologie d’un espace sont obtenues à partir de la suite spectrale de Serre. Dans cet article on construit une suite spectrale de Serre dans le cas “non stable”. Cette suite spectrale “non stable” permet des calculs de groupes d’homotopie d’espaces fonctionnels.
Sulle topologie collegate con la convergenza puntuale