Publication result detail

A categorical approach to convergence: compactness

ŠLAPAL, J.

Original Title

A categorical approach to convergence: compactness

English Title

A categorical approach to convergence: compactness

Type

WoS Article

Original Abstract

A convergence class is introduced on every object of a given category by using certain generalized nets for expressing the convergence. The obtained concrete category is then investigated whose objects are the pairs consisting of objects of the original category and convergence classes on them and whose morphisms are the morphisms of the original category that preserve the convergence. We define, in a natural way, separation and compactness of objects of the concrete category under investigation and study their behavior.

English abstract

A convergence class is introduced on every object of a given category by using certain generalized nets for expressing the convergence. The obtained concrete category is then investigated whose objects are the pairs consisting of objects of the original category and convergence classes on them and whose morphisms are the morphisms of the original category that preserve the convergence. We define, in a natural way, separation and compactness of objects of the concrete category under investigation and study their behavior.

Keywords

comma category, convergence class, separated object, compact object, one-point compactifcation

Key words in English

comma category, convergence class, separated object, compact object, one-point compactifcation

Authors

ŠLAPAL, J.

RIV year

2017

Released

15.02.2016

Publisher

Elsevier

ISBN

0166-8641

Periodical

TOPOLOGY AND ITS APPLICATIONS

Volume

201

Number

1

State

Kingdom of the Netherlands

Pages from

78

Pages to

85

Pages count

8

URL

https://reader.elsevier.com/reader/sd/pii/S0166864115005581?token=E55CE6A067A4F0EFCECA71C648844855BC127C5CBCBDCEE63A763BD897C4BE78696C15152A6802E8814CA7965B73E6C6&originRegion=eu-west-1&originCreation=20211027132945

BibTex

@article{BUT114790,
  author="Josef {Šlapal}",
  title="A categorical approach to convergence: compactness",
  journal="TOPOLOGY AND ITS APPLICATIONS",
  year="2016",
  volume="201",
  number="1",
  pages="78--85",
  doi="10.1016/j.topol.2015.12.027",
  issn="0166-8641",
  url="https://reader.elsevier.com/reader/sd/pii/S0166864115005581?token=E55CE6A067A4F0EFCECA71C648844855BC127C5CBCBDCEE63A763BD897C4BE78696C15152A6802E8814CA7965B73E6C6&originRegion=eu-west-1&originCreation=20211027132945"
}

Documents

TopAppl2016