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A classification of the cofinal structures of precompacta
Annals of Pure and Applied Logic ( IF 0.6 ) Pub Date : 2020-04-08 , DOI: 10.1016/j.apal.2020.102810
Aviv Eshed , M. Vicenta Ferrer , Salvador Hernández , Piotr Szewczak , Boaz Tsaban

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 C(X,R) of continuous real-valued functions on complete metric spaces X, with respect to the compact-open topology.



中文翻译:

致密实体的共终结构的分类

我们提供了一般度量空间中预紧(完全有界)集合族的可能共最终结构的完整分类,以及一般完整度量空间中的紧集的可能集合。使用此分类,我们将各组中本地碱基的共同最终结构分类CX[R关于紧凑开放拓扑,在完整度量空间X上的连续实值函数的集合。

更新日期:2020-04-08
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