On metrizability of compactoid sets in non-archimedean locally convex spaces
| dc.contributor.author | Kakol, Jerzy | |
| dc.contributor.author | Śliwa, Wiesław | |
| dc.date.accessioned | 2010-07-26T12:24:23Z | |
| dc.date.available | 2010-07-26T12:24:23Z | |
| dc.date.issued | 2008 | |
| dc.description | These results have been presented at the 10th International Conference on P-Adic and Non-Archimedean Analysis, Michigan State University, East Lansing, Michigan, USA, June 30 to July 3, 2008. Next they have been published in the Indag. Mathem., N.S., 19(2008), 563--578. | pl_PL |
| dc.description.abstract | In 2003 N. De Grande-De Kimpe, J. Kakol and C.Perez-Garcia using t-frames and some machinery concerning tensor products proved that compactoid sets in (LM)-spaces are metrizable. In this presentation we show a similar result for locally convex spaces with a L-base. This extends the first mentioned result since every (LM)-space has a L-base. We show that any compactoid subset of a non-archimedean locally convex space E is metrizable if and only if the dual of E with the topology of the uniform convergence on compactoid subsets of E is of countable type. | pl_PL |
| dc.description.sponsorship | Adam Mickiewicz University, Poznan, POLAND | pl_PL |
| dc.identifier.citation | 10th International Conference on P-Adic and Non-Archimedean Analysis, Michigan State University, East Lansing, Michigan, USA, June 30 to July 3, 2008 | pl_PL |
| dc.identifier.uri | http://hdl.handle.net/10593/507 | |
| dc.language.iso | en | pl_PL |
| dc.subject | Compactoid set | pl_PL |
| dc.subject | Compactoid resolution | pl_PL |
| dc.title | On metrizability of compactoid sets in non-archimedean locally convex spaces | pl_PL |