%0 Book Section
%T Some classes of bounded sets in metric spaces
publisher UCM
%D 2012
%U 978-84-695-4421-1
%@ https://hdl.handle.net/20.500.14352/45365
%X 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.
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