Necessary and sufficient conditions for precompact sets to be metrisable-Reference-Cited by-同舟云学术

Necessary and sufficient conditions for precompact sets to be metrisable

Published:2006-08 Issue:1 Volume:74 Page:7-13
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Ferrando J.C.,Kasakol J.,Pellicer M. López

Abstract

This self-contained paper characterises those locally convex spaces whose (weakly) precompact (respectively, compact) subsets are metrisable. Applications and examples are provided. Our approach also applies to get Cascales-Orihuela's, Valdivia's and Robertson's metrisation theorems for (pre)compact sets.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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