A classification of the cofinal structures of precompacta
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
A classification of the cofinal structures of precompactaAuthor (s)
Date
2020-08Publisher
ElsevierISSN
0168-0072Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0168007220300348Version
info:eu-repo/semantics/sumittedVersionSubject
Abstract
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. [-]
Is part of
Annals of Pure and Applied Logic, 2020, vol. 171, no 8Rights
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- MAT_Articles [765]