Detail publikace
Quasi-uniform structures and functors
IRAGI, M. HOLGATE, D.
Anglický název
Quasi-uniform structures and functors
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
We study a number of categorical quasi-uniform structures induced by functors. We depart from a category C with a proper (E,M)-factorization system, then define the continuity of a C-morphism with respect to two syntopogenous structures (in particular with respect to two quasi-uniformities) on C and use it to describe the quasi-uniformities induced by pointed and copointed endofunctors of C. In particular, we demonstrate that every quasi-uniformity on a reective subcategory of C can be lifted to a coarsest quasi-uniformity on C for which every reection morphism is continuous.
Anglický abstrakt
We study a number of categorical quasi-uniform structures induced by functors. We depart from a category C with a proper (E,M)-factorization system, then define the continuity of a C-morphism with respect to two syntopogenous structures (in particular with respect to two quasi-uniformities) on C and use it to describe the quasi-uniformities induced by pointed and copointed endofunctors of C. In particular, we demonstrate that every quasi-uniformity on a reective subcategory of C can be lifted to a coarsest quasi-uniformity on C for which every reection morphism is continuous.
Klíčová slova anglicky
Closure operator, Syntopogenous structure, Quasi-uniform structure, (Co)pointed endofunctor, and Adjoint functor.
Vydáno
01.10.2023
Nakladatel
The Mount Allison University
Místo
Sackville, New Brunswick, Canada
ISSN
1201-561X
Ročník
39
Číslo
17
Strany od–do
519–534
Počet stran
16
BIBTEX
@article{BUT196767,
author="David Brendon {Holgate} and Minani {Iragi},
title="Quasi-uniform structures and functors",
year="2023",
volume="39",
number="17",
month="October",
pages="519--534",
publisher=" The Mount Allison University ",
address="Sackville, New Brunswick, Canada",
issn="1201-561X"
}