Two classes of metric spaces
ISSN: 1576-9402, 1989-4147
Año de publicación: 2016
Volumen: 17
Número: 1
Páginas: 57-70
Tipo: Artículo
Otras publicaciones en: Applied general topology
Resumen
The 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.
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