From A-spaces to arbitrary spaces via spatial fibrous preorders
Category Theory
2013-08-01 v1
Abstract
The well known equivalence between preorders and Alexandrov spaces is extended to an equivalence between arbitrary topological spaces and spatial fibrous preorders, a new notion to be introduced.
Keywords
Cite
@article{arxiv.1307.8307,
title = {From A-spaces to arbitrary spaces via spatial fibrous preorders},
author = {N. Martins-Ferreira},
journal= {arXiv preprint arXiv:1307.8307},
year = {2013}
}
Comments
Work presented at: IX Portuguese Category Seminar, Coimbra, Portugal (1Jul2013); CT2013, Sidney, Australia (11Jul2013); Eilenberg Centenary Conference, Warsaw, Poland (23Jul2013)