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.

Uniformly approachable functions and UA spaces

DIKRANJAN, Dikran
1993-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/682748
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