Complete Regularity: Kopperman's duality {\it \`{a} la quantale}
General Topology
2019-07-30 v2 Category Theory
Abstract
Nearly three decades from his celebrated result, we study a modern refinement and strengthening of Kopperman's full metrisabilty of all topological spaces. Within this new theory of \emph{V-spaces}, developed by Flagg and Weiss, we investigate several topological notions and their metric counterpart. Among our main results is the reconstruction, in terms of V-spaces, of Kopperman's equivalence between symmetric value semigroups and completely regular topologies. We conclude our work by revisiting some classical topological results and their almost evident validity through this metric lens.
Cite
@article{arxiv.1611.00562,
title = {Complete Regularity: Kopperman's duality {\it \`{a} la quantale}},
author = {J. Bruno},
journal= {arXiv preprint arXiv:1611.00562},
year = {2019}
}