Publication result detail

Convergence Structures for Categories

ŠLAPAL, J.

Original Title

Convergence Structures for Categories

English Title

Convergence Structures for Categories

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

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

Convergence, category

Key words in English

Convergence, category

Authors

ŠLAPAL, J.

Released

01.01.2001

ISBN

0927-2852

Periodical

APPLIED CATEGORICAL STRUCTURES

Volume

9

Number

6

State

Kingdom of the Netherlands

Pages from

557

Pages count

14

BibTex

@article{BUT39911,
  author="Josef {Šlapal}",
  title="Convergence Structures for Categories",
  journal="APPLIED CATEGORICAL STRUCTURES",
  year="2001",
  volume="9",
  number="6",
  pages="14",
  issn="0927-2852"
}