Sur le prolongement des fonctions continues dans les complexes simpliciaux infinis
The cartesian closed hull of the category of approach spaces
The Conley index for flows preserving generalized symmetries
Topological spaces with generalized symmetries are defined and extensions of the Conley index of a compact isolated invariant set of the flow preserving the structures introduced are proposed. One of the two new indexes is constructed with no additional assumption on the examined set in terms of symmetry invariance.
Topological completeness of first countable Hausdorff spaces II
Topologies in atomic quantum logics
Transfinite cardinal dimension and separability
Über einen Graphensatz für lineare Abbildungen mit metrisierbarem Zielraum.
Ultrametric sets in Euclidean point spaces.
Uniform AR's and ANR's
Urysohn universal spaces as metric groups of exponent 2
The aim of the paper is to prove that the bounded and unbounded Urysohn universal spaces have unique (up to isometric isomorphism) structures of metric groups of exponent 2. An algebraic-geometric characterization of Boolean Urysohn spaces (i.e. metric groups of exponent 2 which are metrically Urysohn spaces) is given.
Weak-open compact images of metric spaces
The main results of this paper are that (1) a space is -developable if and only if it is a weak-open image of a metric space, one consequence of the result being the correction of an error in the paper of Z. Li and S. Lin; (2) characterizations of weak-open compact images of metric spaces, which is another answer to a question in in the paper of Y. Ikeda, C. liu and Y. Tanaka.
-mappings in -Ponomarev-systems
We use the -Ponomarev-system , where is a locally separable metric space, to give a consistent method to construct a -mapping (compact mapping) with covering-properties from a locally separable metric space onto a space . As applications of these results, we systematically get characterizations of certain -images (compact images) of locally separable metric spaces.
-additive topological spaces
Предельные множества отображений и неметризуемая биокомпактификация метрических пространств.