This is a preview. Log in through your library . Abstract We prove constructively that, in order to derive the uniform continuity theorem for pointwise continuous mappings from a compact metric space ...

AbstractIn this paper we continue, in the realm of metric spaces, the study of exhaustiveness and weak exhaustiveness at a point of a net of functions initiated by Gregoriades and Papanastassiou in ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...