On Metric Completness and Completness in sense of Lattices
| dc.creator | Samborski, Serguei | |
| dc.date | 2003-12-22 | |
| dc.date | 2004-05-18 | |
| dc.date.accessioned | 2026-07-07T05:04:07Z | |
| dc.date.available | 2026-07-07T05:04:07Z | |
| dc.description | We give an answer to the following question: for which metric in an abstract lattice the completion as a metric space coincides with the completion as a lattice. We obtain the answer for inductive limits of lattices which are complete in both senses. As an application we construct such a metric in the lattice of continuous functions endowed with the uniform convergence. | |
| dc.description | Sorry, this article is being rewritten. Please email the author to be informed about its availability | |
| dc.identifier | https://arxiv.org/abs/math/0312410 | |
| dc.identifier | http://arxiv.org/abs/math/0312410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69678 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 46E05 (primary); 06B30 (secondary); 46A40; 54H12 | |
| dc.title | On Metric Completness and Completness in sense of Lattices | |
| dc.type | text |