RT Book, Section
T1 Some classes of bounded sets in metric spaces
A1 Garrido Carballo, María Isabel
A1 Meroño Moreno, Ana Soledad
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 eng
NO Ministerio de Ciencia, Innovación y Universidades (España) 
NO Fundación Caja-Madrid
NO Universidad Complutense de Madrid 
DS Docta Complutense
RD 31 dic 2025