Stationary sets, trees and continuums.
Statistische Entscheidungsprobleme mit nichtkompaktem Aktionenraum.
Stratégies gagnantes dans certains jeux topologiques
Strict completions of -groups
Strong pseudocompact properties
For a free ultrafilter on , the concepts of strong pseudocompactness, strong -pseudocompactness and pseudo--boundedness were introduced in [Angoa J., Ortiz-Castillo Y.F., Tamariz-Mascarúa A., Ultrafilters and properties related to compactness, Topology Proc. 43 (2014), 183–200] and [García-Ferreira S., Ortiz-Castillo Y.F., Strong pseudocompact properties of certain subspaces of , submitted]. These properties in a space characterize the pseudocompactness of the hyperspace of compact subsets...
Strong remote points.
Strong remote points
Remote points constructed so far are actually strong remote. But we construct remote points of another type.
Strong sequences and the weight of regular spaces
It will be shown that if in a family of sets there exists a strong sequence of the length then this family contains a subfamily consisting of pairwise disjoint sets. The method of strong sequences will be used for estimating the weight of regular spaces.
Strong sequences, binary families and Esenin-Volpin's theorem
One of the most important and well known theorem in the class of dyadic spaces is Esenin-Volpin's theorem of weight of dyadic spaces. The aim of this paper is to prove Esenin-Volpin's theorem in general form in class of thick spaces which possesses special subbases.
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 base-paracompact spaces
A space is said to be strongly base-paracompact if there is a basis for with such that every open cover of has a star-finite open refinement by members of . Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from .
Strongly discrete subsets in ω*
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.
Strongly sequential spaces.
Strongly sequential spaces
The problem of Y. Tanaka [10] of characterizing the topologies whose products with each first-countable space are sequential, is solved. The spaces that answer the problem are called strongly sequential spaces in analogy to strongly Fréchet spaces.
Strongly summable ultrafilters on N and small maximal subgroups of ßN.
Struktur- und Anzahlformeln für Topologien auf endlichen Mengen.
Study of -closed sets and the related notions in topological spaces.
Subbase characterization of special spaces
Subparacompact Inverse Images of 2-subparacompact Spaces