Structural aspects of the non-uniformly continuous functions and the unbounded functions within C(X)

Description

We prove in this paper that if a metric space supports a real continuous function which is not uniformly continuous then, under appropriate mild assumptions, there exists in fact a plethora of such functions, in both topological and algebraical senses. Corresponding results are also obtained concerning unbounded continuous functions on a non-compact metrizable space.

Abstract

Plan Andaluz de Investigación (Junta de Andalucía)

Abstract

Ministerio de Economía y Competitividad (MINECO). España

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