Publication detail

Convergence Structures for Categories

ŠLAPAL, J.

Czech title

Konvergenční struktury pro kategorie

English title

Convergence Structures for Categories

Type

journal article - other

Language

en

Original abstract

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.

Czech abstract

Konvergenční struktury pro kategorie jsou studovány

English abstract

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.

Keywords in English

Convergence, category

RIV year

2001

Released

01.01.2001

ISSN

0927-2852

Journal

Applied Categorical Structures

Volume

9

Number

6

Pages count

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"
}