Detail výsledku

Convergence Structures for Categories

ŠLAPAL, J. Convergence Structures for Categories. APPLIED CATEGORICAL STRUCTURES, 2001, vol. 9, no. 6, 14 p. ISSN: 0927-2852.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc.
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

Rok
2001
Strany
14
Časopis
APPLIED CATEGORICAL STRUCTURES, roč. 9, č. 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"
}
Pracoviště
Ústav matematiky (ÚM)
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