Garrido, M. IsabelMeroño, Ana S.2023-06-182023-06-1820161576-9402http://dx.doy.org/10.4995/agt.2016.4401https://hdl.handle.net/20.500.14352/24504The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple metric spaces introduced by Hejcman are defined in terms of some kind of bornologies of bounded subsets of X. In this note we present a common framework where both classes of metric spaces can be studied which allows us to see not only the relationships between them but also to obtain new internal characterizations of these metric properties.engAtribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/journal articlehttp://polipapers.upv.es/index.php/AGT/article/view/4401/5307open access514Metric spacesreal-valued uniformly continuous functionsrealvalued Lipschitz functionsbornologiesBourbaki-boundednesscountable uniform partitionssmall-determined spacesB-simple spaces.Topología1210 Topología