Non-separable analytic spaces and measurability
Non-subharmonicity of the Hausdorff distance
Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.
Non-Unique Fixed Points In L-Spaces
Non-unique fixed points in L-spaces.
Norm continuity of weakly quasi-continuous mappings
Let be the class of Banach spaces X for which every weakly quasi-continuous mapping f: A → X defined on an α-favorable space A is norm continuous at the points of a dense subset of A. We will show that this class is stable under c₀-sums and -sums of Banach spaces for 1 ≤ p < ∞.
Normal Vietoris implies compactness: a short proof
One of the most celebrated results in the theory of hyperspaces says that if the Vietoris topology on the family of all nonempty closed subsets of a given space is normal, then the space is compact (Ivanova-Keesling-Velichko). The known proofs use cardinality arguments and are long. In this paper we present a short proof using known results concerning Hausdorff uniformities.
Normality and Martin's axiom
Normality and paracompactness in subsets of product spaces
Normality and paracompactness of Pixley-Roy hyperspaces
Note on a result of E.P. Lane
Note on category in Cartesian products of metrizable spaces
Note on decompositions of metrizable spaces I
Note on decompositions of metrizable spaces II
Note on extremal points
Note on limits of simply continuous and cliquish functions.
Note on metrization of quasi-uniform spaces
Note on quasi-uniform spaces and representable spaces
Notes on -covers
The main purpose of this paper is to establish general conditions under which -spaces are compact-covering images of metric spaces by using the concept of -covers. We generalize a series of results on compact-covering open images and sequence-covering quotient images of metric spaces, and correct some mapping characterizations of -metrizable spaces by compact-covering -maps and -maps.
Notes on Fréchet spaces.
Notes on the topologies and uniformities of hyperspaces