Publisher： Cambridge University Press
E-ISSN： 1755-1633|74|1|7-13
ISSN： 0004-9727
Source： Bulletin of the Australian Mathematical Society, Vol.74, Iss.1, 2006-08, pp. : 7-13
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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.
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