Detail publikačního výsledku

Quasi-uniform structures and functors

IRAGI, M.; HOLGATE, D.

Originální název

Quasi-uniform structures and functors

Anglický název

Quasi-uniform structures and functors

Druh

Článek WoS

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

Closure operator, Syntopogenous structure, Quasi-uniform structure, (Co)pointed endofunctor, and Adjoint functor.

Klíčová slova v angličtině

Closure operator, Syntopogenous structure, Quasi-uniform structure, (Co)pointed endofunctor, and Adjoint functor.

Autoři

IRAGI, M.; HOLGATE, D.

Rok RIV

2025

Vydáno

01.10.2023

Nakladatel

The Mount Allison University

Místo

Sackville, New Brunswick, Canada

ISSN

1201-561X

Periodikum

Theory and Applications of Categories

Svazek

39

Číslo

17

Stát

Kanada

Strany od

519

Strany do

534

Strany počet

16

URL

http://www.tac.mta.ca/tac/volumes/39/17/39-17.pdf

BibTex

@article{BUT196767,
  author="David Brendon {Holgate} and Minani {Iragi}",
  title="Quasi-uniform structures and functors",
  journal="Theory and Applications of Categories",
  year="2023",
  volume="39",
  number="17",
  pages="519--534",
  issn="1201-561X",
  url="http://www.tac.mta.ca/tac/volumes/39/17/39-17.pdf"
}