Result Details

Convergence Structures for Categories

ŠLAPAL, J. Convergence Structures for Categories. APPLIED CATEGORICAL STRUCTURES, 2001, vol. 9, no. 6, 14 p. ISSN: 0927-2852.

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc.

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

Published

2001

Pages

Journal

APPLIED CATEGORICAL STRUCTURES, vol. 9, no. 6, ISSN 0927-2852

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"
}

Departments

Institute of Mathematics (IM)