English

A variety of co-quasivarieties

Category Theory 2024-04-09 v1 General Topology

Abstract

It is shown that the duals of several categories of topological flavour, like the categories of ordered sets, generalised metric spaces, probabilistic metric spaces, topological spaces, approach spaces, are quasivarieties, presenting a common proof for all such results.

Keywords

Cite

@article{arxiv.2404.05017,
  title  = {A variety of co-quasivarieties},
  author = {Maria Manuel Clementino and Carlos Fitas and Dirk Hofmann},
  journal= {arXiv preprint arXiv:2404.05017},
  year   = {2024}
}