RT Book, Section T1 Some classes of bounded sets in metric spaces A1 Garrido, M. Isabel A1 Meroño, Ana S. AB 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. PB UCM SN 978-84-695-4421-1 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/45365 UL https://hdl.handle.net/20.500.14352/45365 LA spa NO MICINN NO Fundación Caja-Madrid NO UCM DS Docta Complutense RD 9 abr 2025