Subsets of compacta
Successioni di Cauchy e completamento degli spazi uniformi
Sulla uniformità naturale nei gruppi topologici
Supremum properties of Galois-type connections
In a former paper, motivated by a recent theory of relators (families of relations), we have investigated increasingly regular and normal functions of one preordered set into another instead of Galois connections and residuated mappings of partially ordered sets. A function of one preordered set into another has been called (1) increasingly -normal, for some function of into , if for any and we have if and only if ; (2) increasingly -regular, for some function of into itself,...
Sur la sommabilité de familles de fonctions uniformément continues
Sur le plongement d'un champ mesurable d'espaces métriques dans un champ trivial
Sur le prolongement des fonctions continues dans les complexes simpliciaux infinis
Sur le théorème de complétion de Buchwalter-Pupier
Sur les rétractes absolus Pn -valués de dimension finie
We prove that a k-dimensional hereditarily indecomposable metrisable continuum is not a -valued absolute retract. We deduce from this that none of the classical characterizations of ANR (metric) extends to the class of stratifiable spaces.
Sur un théorème de métrisabilité.
Sur une propriété des espaces métriques dénombrables
Symmetric products of the Euclidean spaces and the spheres
By , , we denote the -th symmetric product of a metric space as the space of the non-empty finite subsets of with at most elements endowed with the Hausdorff metric . In this paper we shall describe that every isometry from the -th symmetric product into itself is induced by some isometry from into itself, where is either the Euclidean space or the sphere with the usual metrics. Moreover, we study the -th symmetric product of the Euclidean space up to bi-Lipschitz equivalence and...
Symmetry conditions on the coincidence of some notions of quasi-uniform completeness.
Szpilrajn type theorem for concentration dimension
Let X be a locally compact, separable metric space. We prove that , where and stand for the concentration dimension and the topological dimension of X, respectively.