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Necessary and sufficient conditions for precompact sets to be metrisable
| Content Provider | Scilit |
|---|---|
| Author | Ferrando, J. C. Kasakol, J. Pellicer, M. López |
| Copyright Year | 2006 |
| Description | 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. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0656D4943F6A8A7044E08F840678C227/S0004972700035528a.pdf/div-class-title-necessary-and-sufficient-conditions-for-precompact-sets-to-be-metrisable-div.pdf |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700035528 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 1 |
| Volume Number | 74 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2006-08-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Sufficient Conditions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |