Academic Journal
New types of completeness in metric spaces
| العنوان: | New types of completeness in metric spaces |
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| المؤلفون: | Garrido, M. Isabel, Meroño, Ana S. |
| بيانات النشر: | SUOMALAINEN TIEDEAKATEMIA |
| سنة النشر: | 2014 |
| المجموعة: | Universidad Complutense de Madrid (UCM): E-Prints Complutense |
| مصطلحات موضوعية: | 515.1, Metric spaces, Bourbaki-completeness, cofinal Bourbaki-completeness, Bourbaki-bounded sets, totally-bounded sets, Stone-Cech compactification, uniform paracompactness, Topología, 1210 Topología |
| الوصف: | This paper is devoted to introduce and study two new properties of completeness in the setting of metric spaces. We will call them Bourbaki-completeness and cofinal Bourbaki-completeness. These notions came from new classes of generalized Cauchy sequences appearing when we try to characterize the so-called Bourbaki-boundedness in a similar way that Cauchy sequences characterize the totally boundedness. We also study the topological problem of metrizability by means of a Bourbaki-complete or a cofinally Bourbaki-complete metric. At this respect, we obtain results in the line to the classical Cech theorem about the complete metrizability of a metric space X in terms of its Stone-Cech compactification beta X. Finally we give some relationships between these kinds of completeness and some properties related to paracompactness and uniform paracompactness in the framework of metrizable spaces. ; Depto. de Álgebra, Geometría y Topología ; Fac. de Ciencias Matemáticas ; TRUE ; MINECO Project (Spain) ; pub |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1239-629X |
| Relation: | MTM2012-34341; http://www.acadsci.fi/mathematica/Vol39/vol39pp733-758.pdf; http://www.acadsci.fi/; https://hdl.handle.net/20.500.14352/33655 |
| DOI: | 10.5186/aasfm.2014.3934 |
| الاتاحة: | https://hdl.handle.net/20.500.14352/33655 https://doi.org/10.5186/aasfm.2014.3934 http://www.acadsci.fi/mathematica/Vol39/vol39pp733-758.pdf http://www.acadsci.fi/ |
| Rights: | open access |
| رقم الانضمام: | edsbas.DF7329E5 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 1239629X |
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| DOI: | 10.5186/aasfm.2014.3934 |