Detail publikace

Konvergenční struktury pro kategorie

ŠLAPAL, J.

Český název

Konvergenční struktury pro kategorie

Anglický název

Convergence Structures for Categories

Typ

článek v časopise - ostatní, Jost

Jazyk

en

Originální abstrakt

We introduce and study the concept of a convergence structure for a category. Such a structure is obtained by endowing each object of the category with a convergence class subjected to some basic convergence axioms. As a tool for expressing the convergence we use categorically viewed nets which generalize the usual ones. We describe relations between convergence structures and closure operations for categories and investigate separatedness and compactness of objects of a category with a convergence structure.

Český abstrakt

Konvergenční struktury pro kategorie jsou studovány

Anglický abstrakt

We introduce and study the concept of a convergence structure for a category. Such a structure is obtained by endowing each object of the category with a convergence class subjected to some basic convergence axioms. As a tool for expressing the convergence we use categorically viewed nets which generalize the usual ones. We describe relations between convergence structures and closure operations for categories and investigate separatedness and compactness of objects of a category with a convergence structure.

Klíčová slova anglicky

Convergence, category

Rok RIV

2001

Vydáno

01.01.2001

ISSN

0927-2852

Časopis

Applied Categorical Structures

Ročník

9

Číslo

6

Počet stran

14

BIBTEX


@article{BUT39911,
  author="Josef {Šlapal},
  title="Convergence Structures for Categories",
  journal="Applied Categorical Structures",
  year="2001",
  volume="9",
  number="6",
  month="January",
  issn="0927-2852"
}