Distance Domains: Completeness
General Topology
2019-11-19 v2
Abstract
We explore extensions of domain theoretic concepts, replacing transitive relations with general non-symmetric distances. These lead to a generalization of Smyth completeness which we characterize in various ways analogous to our previous Yoneda completeness characterizations.
Cite
@article{arxiv.1704.01024,
title = {Distance Domains: Completeness},
author = {Tristan Bice},
journal= {arXiv preprint arXiv:1704.01024},
year = {2019}
}
Comments
This corresponds to the first half of the previous version, revised and now published. A revision of the second half will appear in a separate paper