The neighborhood complex of an infinite graph.
The point of continuity property, neighbourhood assignments and filter convergences
We show that for some large classes of topological spaces X and any metric space (Z,d), the point of continuity property of any function f: X → (Z,d) is equivalent to the following condition: (*) For every ε > 0, there is a neighbourhood assignment of X such that d(f(x),f(y)) < ε whenever . We also give various descriptions of the filters ℱ on the integers ℕ for which (*) is satisfied by the ℱ-limit of any sequence of continuous functions from a topological space into a metric space.
The Schauder fixed-point theorem for connectivity maps
Topological conditions for bound-2 isomorphisms of C(X)
We establish the topological relationship between compact Hausdorff spaces X and Y equivalent to the existence of a bound-2 isomorphism of the sup norm Banach spaces C(X) and C(Y).
Topologie e funzioni reali semicontinue
Topologies sur des espaces ordonnés
Two-valued functions, non-archimedean quasi-metrics and ultraquasi-gauges