A classification of the cofinal structures of precompacta
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Otros documentos de la autoría: Eshed, Aviv; Ferrer González, María Vicenta; Hernández, Salvador; Szewczak, Piotr; Tsaban, Boaz
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Título
A classification of the cofinal structures of precompactaAutoría
Fecha de publicación
2020-08Editor
ElsevierISSN
0168-0072Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0168007220300348Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
We provide a complete classification of the possible cofinal structures of the families of precompact (totally bounded) sets in general metric spaces, and compact sets in general complete metric spaces. Using this ... [+]
We provide a complete classification of the possible cofinal structures of the families of precompact (totally bounded) sets in general metric spaces, and compact sets in general complete metric spaces. Using this classification, we classify the cofinal structure of local bases in the groups of continuous real-valued functions on complete metric spaces X, with respect to the compact-open topology. [-]
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Annals of Pure and Applied Logic, 2020, vol. 171, no 8Derechos de acceso
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