Completions of pre–uniform spaces
[EN] In this paper we prove the existence of a completion of a T0–pre-uniform space (X,U), with the property that each Cauchy filter in (X,U) contains a weakly round filter.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/83067 |
| Online Access: | https://riunet.upv.es/handle/10251/83067 |
| Access Level: | Open access |
| Keyword: | Pre–uniform space Complete pre–uniform space Uniform conti-nuity Pre–uniformity basis Semi–uniformity basis Unimorphism Unimorphism embedding Equivalent Admisible and compatible pre–uniformities Balanced filter Cauchy Minimal Cauchy Round Weakly round And strongly round fil-ters Proper pre–uniform space |
| Summary: | [EN] In this paper we prove the existence of a completion of a T0–pre-uniform space (X,U), with the property that each Cauchy filter in (X,U) contains a weakly round filter. |
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