Detail publikačního výsledku

Convergence Structures for Categories

ŠLAPAL, J.

Originální název

Convergence Structures for Categories

Anglický název

Convergence Structures for Categories

Druh

Článek recenzovaný mimo WoS a Scopus

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.

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

Convergence, category

Klíčová slova v angličtině

Convergence, category

Autoři

ŠLAPAL, J.

Vydáno

01.01.2001

ISSN

0927-2852

Periodikum

APPLIED CATEGORICAL STRUCTURES

Svazek

9

Číslo

6

Stát

Nizozemsko

Strany od

557

Strany počet

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"
}