-closed extensions of topological spaces
Haar spaces and polynomial selections.
H-abgeschlossene Räume als schwach-stetige Bilder kompakter Räume.
Halpern's iteration in CAT(0) spaces.
Hardy-Rogers-type fixed point theorems for --contractions
The aim of this paper is to introduce some new fixed point results of Hardy-Rogers-type for ---contraction in a complete metric space. We extend the concept of -contraction into an ---contraction of Hardy-Rogers-type. An example has been constructed to demonstrate the novelty of our results.
Harmonic analysis and topology
Harmonic majorization and thinness
Hashimoto topologies and quasi-continuous maps
Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
We construct examples of expanding piecewise monotonic maps on the interval which have a closed topologically transitive invariant subset A with Darboux property, Hausdorff dimension d ∈ (0,1) and zero d-dimensional Hausdorff measure. This shows that the results about Hausdorff and conformal measures proved in the first part of this paper are in some sense best possible.
Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval
Let A be a topologically transitive invariant subset of an expanding piecewise monotonic map on [0,1] with the Darboux property. We investigate existence and uniqueness of conformal measures on A and relate Hausdorff and conformal measures on A to each other.
Hausdorff compactifications of completely regular spaces
Hausdorff completions of quasi-uniform spaces
Hausdorff convergence and the limit shape of the unicorns.
Hausdorff dimension for piecewise monotonic maps
Hausdorff Fréchet closure spaces with maximum topological defect
It is well-known that the topological defect of every Fréchet closure space is less than or equal to the first uncountable ordinal number . In the case of Hausdorff Fréchet closure spaces we obtain some general conditions sufficient so that the topological defect is exactly . Some classical and recent results are deduced from our criterion.
Hausdorff measures and two point set extensions
We investigate the following question: under which conditions is a σ-compact partial two point set contained in a two point set? We show that no reasonable measure or capacity (when applied to the set itself) can provide a sufficient condition for a compact partial two point set to be extendable to a two point set. On the other hand, we prove that under Martin's Axiom any σ-compact partial two point set such that its square has Hausdorff 1-measure zero is extendable.
Hausdorff spaces and the closed intersection property
Hausdorff topology and uniform convergence topology in spaces of continuous functions
The local coincidence of the Hausdorff topology and the uniform convergence topology on the hyperspace consisting of closed graphs of multivalued (or continuous) functions is related to the existence of continuous functions which fail to be uniformly continuous. The problem of the local coincidence of these topologies on is investigated for some classes of spaces: topological groups, zero-dimensional spaces, metric manifolds.
Hausdorffness in intuitionistic fuzzy topological spaces.
The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. Çoker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.
HC-convergence theory of -nets and -ideals and some of its applications
In this paper we introduce and study the concepts of -closed set and -limit (-cluster) points of -nets and -ideals using the notion of almost -compact remoted neighbourhoods in -topological spaces. Then we introduce and study the concept of -continuous mappings. Several characterizations based on -closed sets and the -convergence theory of -nets and -ideals are presented for -continuous mappings.