A classification of the cofinal structures of precompacta
General Topology
2017-01-04 v2 Functional Analysis
Logic
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 classification, we classify the cofinal structure of local bases in the groups of continuous real-valued functions on complete metric spaces , with respect to the compact-open topology.
Cite
@article{arxiv.1607.07669,
title = {A classification of the cofinal structures of precompacta},
author = {Aviv Eshed and M. Vincenta Ferrer and Salvador Hernández and Piotr Szewczak and Boaz Tsaban},
journal= {arXiv preprint arXiv:1607.07669},
year = {2017}
}
Comments
Major revision. Streamlined proofs. Final version, submitted for publication