Properties of monotone mappings in partially ordered sets.
Property P in G-metric spaces.
Propiedades topológicas de los grupos de isometría de un grupo reticulado.
This paper deals with the topological properties of groups of isometries of lattice-ordered groups and f-rings. The topologies considered are order-topology and the topology defined by null-sequences.
Propriétés topologiques et combinatoires des échelles de numération
Topological and combinatorial properties of dynamical systems called odometers and arising from number systems are investigated. First, a topological classification is obtained. Then a rooted tree describing the carries in the addition of 1 is introduced and extensively studied. It yields a description of points of discontinuity and a notion of low scale, which is helpful in producing examples of what the dynamics of an odometer can look like. Density of the orbits is also discussed.
Proximality in Pisot tiling spaces
A substitution φ is strong Pisot if its abelianization matrix is nonsingular and all eigenvalues except the Perron-Frobenius eigenvalue have modulus less than one. For strong Pisot φ that satisfies a no cycle condition and for which the translation flow on the tiling space has pure discrete spectrum, we describe the collection of pairs of proximal tilings in in a natural way as a substitution tiling space. We show that if ψ is another such substitution, then and are homeomorphic if and...
Pseudocompact refinements of compact group topologies.
Pseudocompactness - from compactifications to multiplication of borel sets
Pure measures
Purely infinite -algebras arising from dynamical systems
Purely infinite C*-algebras from boundary actions of discrete groups.
Quasi-bounded trees and analytic inductions
A tree T on ω is said to be cofinal if for every there is some branch β of T such that α ≤ β, and quasi-bounded otherwise. We prove that the set of quasi-bounded trees is a complete Σ¹₁-inductive set. In particular, it is neither analytic nor co-analytic.
Quasicone metric spaces and generalizations of Caristi Kirk's theorem.
Quasicontraction nonself-mappings on convex metric spaces and common fixed point theorems.
Quasi-nonexpansive multi-valued maps and selections
Quasi-orbit spaces associated to T₀-spaces
Let G ⊂ Homeo(E) be a group of homeomorphisms of a topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O. Let E/G̃ be the space of classes of orbits, called the quasi-orbit space. We show that every second countable T₀-space Y is a quasi-orbit space E/G̃, where E is a second countable metric space. The regular part X₀ of a T₀-space X is the union of open subsets homeomorphic to ℝ or to 𝕊¹. We give a characterization of the spaces X with finite...
Quasi-rekurrente Bewegungen und Minimale Mengen Dynamischer Systeme
Quasi-uniform convergence in compact dynamical systems
Quelques propriétés measurables de diverses suites d'un espace de Banach séperable E dans E...
Questions
Quotient algebraic structures on the set of fuzzy numbers
A. M. Bica has constructed in [6] two isomorphic Abelian groups, defined on quotient sets of the set of those unimodal fuzzy numbers which have strictly monotone and continuous sides. In this paper, we extend the results of above mentioned paper, to a larger class of fuzzy numbers, by adding the flat fuzzy numbers. Furthermore, we add the topological structure and we characterize the constructed quotient groups, by using the set of the continuous functions with bounded variation, defined on .