McShane’s Extension Theorem Revisited

A fundamental extension theorem of McShane states that a bounded real-valued uniformly continuous function defined on a nonempty subset A of a metric space 〈 X , d 〉 can be extended to a uniformly continuous function on the entire space. In the first half of this note, we obtain McShane’s Extension...

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Veröffentlicht in:	Vietnam journal of mathematics 2020-06, Vol.48 (2), p.237-246
1. Verfasser:	Beer, Gerald
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuity (mathematics) Mathematics Mathematics and Statistics Metric space Original Article Theorems
Online-Zugang:	Volltext
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