Detail publikace

A categorical approach to convergence

ŠLAPAL, J.

Originální název

A categorical approach to convergence

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

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

Autoři

ŠLAPAL, J.

Vydáno

15. 12. 2016

Nakladatel

University of Niś

Místo

Niś, Serbia

ISSN

0354-5180

Periodikum

FILOMAT

Ročník

30

Číslo

12

Stát

Srbská republika

Strany od

3329

Strany do

3338

Strany počet

10

URL

http://www.doiserbia.nb.rs/img/doi/0354-5180/2016/0354-51801612329S.pdf

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"
}