Detail publikačního výsledku

A categorical approach to convergence: compactness

ŠLAPAL, J.

Originální název

A categorical approach to convergence: compactness

Anglický název

A categorical approach to convergence: compactness

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŠLAPAL, J.

Rok RIV

2017

Vydáno

15.02.2016

Nakladatel

Elsevier

ISSN

0166-8641

Periodikum

TOPOLOGY AND ITS APPLICATIONS

Svazek

201

Číslo

1

Stát

Nizozemsko

Strany od

78

Strany do

85

Strany počet

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"
}

Dokumenty

TopAppl2016