Garrido Carballo, M. Isabel and Meroño, Ana Soledad (2012) Some classes of bounded sets in metric spaces. In Contribuciones matemáticas en honor a Juan Tarrés. UCM, Madrid, pp. 179-186. ISBN 978-84-695-4421-1
Abstract
This note deals with some classes of bounded subsets in a metric space. Namely, sets of finite diameter, totally-bounded sets and the so-called Bourbaki-bounded sets. We will see some good and some bad properties of each class, as well as their relationships. A more detailed study about Bourbaki-boundedness is also presented. Finally a new property of completeness in metric spaces is introduced, which we call Bourbaki-completeness.
| Item Type: | Book Section |
|---|---|
| Uncontrolled Keywords: | Metric-bounded; Totally bounded; Bourbaki-bounded; Bourbaki-complete |
| Subjects: | Sciences > Mathematics > Geometry Sciences > Mathematics > Topology |
| ID Code: | 17374 |
| Deposited On: | 11 Dec 2012 11:35 |
| Last Modified: | 11 Dec 2012 11:35 |
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