Publication detail

A categorical approach to convergence

ŠLAPAL, J.

English title

A categorical approach to convergence

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

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

Released

2016-12-15

Publisher

University of Niś

Location

Niś, Serbia

ISSN

0354-5180

Volume

30

Number

12

Pages from–to

3329–3338

Pages count

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"
}