Generation of coreflections in categories
Graph topologies and uniform convergence in quasi-uniform spaces.
Hausdorff completions of quasi-uniform spaces
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.
Hit-and-far-miss Topologies
Ideals of uniformly continuous mappings on pseudometric spaces
Images of uniform measures
Inductive dimensions for completely regular spaces
Infinite uniform dimension
Injectivity of polyhedra
Intrinsic characterization of distal spaces
Intuitionistic -fuzzy topological spaces
The main purpose of this paper is to introduce the concept of intuitionistic -fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic -fuzzy topological spaces and the category of intuitionistic -fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic -fuzzy topology is proposed, and the connections among generated intuitionistic -fuzzy topological spaces,...
Invariant Local Uniformities
Invariant semiuniformities in coset spaces
Inversion-closed space has Daniell property
Irresolvable countable spaces of weight less than
We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight and (b) a countable irresolvable dense subspace of . In this model .
Joint continuity of function spaces
-continuous partitions of unity on normed spaces
La completion universelle d'un espace metrique.
La complétion universelle d'un produit d'espaces complètement réguliers