RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITAÌ€ DI TRIESTE
Abstract
A generalization of uniformly continuous map (uniformly approachable function) is sutdied, as well as the spaces where every continuous real valued function is UA (UA spaces). The latter concept generalizes the notion of Atsuji space largely studied in topology. Various examples, as well as critorion for UA are provided.