A classification of the cofinal structures of precompacta
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A classification of the cofinal structures of precompactaAutoria
Data de publicació
2020-08Editor
ElsevierISSN
0168-0072Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0168007220300348Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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 8Drets d'accés
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