Result Details
Topogenous orders on forms
Iragi Minani, MSc, Ph.D.
Holgate David Brendon, prof.
Departing from a categorical concept of topogenous orders defined relative to the bifibration of subobjects, we introduce and discuss topogenous orders on forms, i.e., faithful and amnestic functors. These topogenous orders are shown to include both closure and interior operators on forms. We define and study two special morphisms relative to a topogenous order, namely strict and final morhisms. We give a characterization of the two morphisms by the help of their cartesian and cocartesian liftings. Some examples from topology and algebra demonstrating our results are included.
Form, (co)cartesian lifting, closure operator, interior operator, topogenous order, strict and nal
morphisms, cohereditariness.
@article{BUT197833,
author="Josef {Šlapal} and Minani {Iragi} and David Brendon {Holgate}",
title="Topogenous orders on forms",
journal="Mathematica Slovaca",
year="2025",
volume="75",
number="1",
pages="179--188",
doi="10.1515/ms-2025-0014",
issn="0139-9918",
url="https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0014/html"
}