Sequential characterizations of metrizability
Set-theoretic consistency results and topological theorems concerning the normal Moore space conjecture and related problems [Book]
Six theorems about injective metric spaces.
Small ball properties for Fréchet spaces.
We give characterizations of certain properties of continuous linear maps between Fréchet spaces, as well as topological properties on Fréchet spaces, in terms of generalizations of Behrends and Kadets small ball property.
Small non-σ-porous sets in topologically complete metric spaces
Sobre la representación de un conjunto mediante árboles aditivos.
En este trabajo se estudia el problema de la representación de un conjunto mediante árboles aditivos, en el sentido de hallar una formalización que permita abordar el mismo desde la perspectiva general de los métodos geométricos de representación del análisis multivariante.
Some approaches to topological spaces.
Some basic notions of mathematical analysis in oriented metric spaces
Some cases of compatibility of the tangency relations of sets.
Some common fixed point theorems in complete -fuzzy metric spaces.
Some continuous separation axioms
Some cover properties of nonseparable metric spaces
Some fixed points theorems in generalized -metric spaces.
Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.
Some properties of convex metric spaces
Some properties of perfect metric spaces
In questa Nota, dati uno spazio metrico perfetto ed un suo sottoinsieme chiuso e raro, si dimostra l'esistenza di una funzione continua tale che per ogni , per ogni e per qualche . In particolare, ciò permette di dare risposta simultaneamente a due questioni poste in [2]. Si mettono in evidenza, poi, ulteriori conseguenze di tale risultato.
Some Questions on Metrizability
Some remarks about metric spaces, spherical mappings, functions and their derivatives.
If p ∈ Rn, then we have the radial projection map from Rn {p} onto a sphere. Sometimes one can construct similar mappings on metric spaces even when the space is nontrivially different from Euclidean space, so that the existence of such a mapping becomes a sign of approximately Euclidean geometry. The existence of such spherical mappings can be used to derive estimates for the values of a function in terms of its gradient, which can then be used to derive Sobolev inequalities, etc. In this paper...
Some remarks on shape properties of compacta
Some results on fixed points and their continuity