Density in categorical topology via quantaloid-enriched categories
Category Theory
2022-01-27 v2 General Topology
Abstract
Based on Garner's discovery that topological categories are total categories enriched in a quantaloid, this paper presents a series of results related to initial and final density in categorical topology via (co)density in quantaloid-enriched categories, focusing on (co-)Sierpi\'{n}ski objects, Galois correspondences and their fixed points.
Keywords
Cite
@article{arxiv.2005.06304,
title = {Density in categorical topology via quantaloid-enriched categories},
author = {Hongliang Lai and Lili Shen},
journal= {arXiv preprint arXiv:2005.06304},
year = {2022}
}
Comments
19 pages, final version