Detail publikace

A categorical approach to convergence

ŠLAPAL, J.

Anglický název

A categorical approach to convergence

Typ

Článek WoS

Jazyk

en

Originální abstrakt

We define the concept of a convergence classes on an object of a given category by using certain generalized nets for expressing the convergence. The resulting topological category, whose objects are the pairs consisting of objects of the original category and convergence classes on them, is then investigated. We study full subcategories of this category which are obtained by imposing some natural convergence axioms. In particular, we find sufficient conditions for the subcategories to be cartesian closed. We also investigate behavior of the closure operators associated with the convergence in a natural way.

Klíčová slova anglicky

Generalized net and subnet, convergence, topological category, cartesian closed category, categorical closure operator

Vydáno

2016-12-15

Nakladatel

University of Niś

Místo

Niś, Serbia

ISSN

0354-5180

Ročník

30

Číslo

12

Strany od–do

3329–3338

Počet stran

10

BIBTEX


@article{BUT113319,
  author="Josef {Šlapal}",
  title="A categorical approach to convergence",
  journal="Filomat",
  year="2016",
  volume="30",
  number="12",
  pages="3329--3338",
  doi="10.2298/FIL1612329S",
  issn="0354-5180",
  url="http://www.doiserbia.nb.rs/img/doi/0354-5180/2016/0354-51801612329S.pdf"
}