Ultratopologies generated by generalized topologies

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is proved a rather general version of the statement that if the union of arbitrary elements of a system λ always belongs to λ then the intersections of elements of λ constitute an ultratopology (i.e. a topology where intersections of open sets are open).

Original languageEnglish
Pages (from-to)153-157
Number of pages5
JournalActa Mathematica Hungarica
Volume110
Issue number1-2
DOIs
Publication statusPublished - Jan 2006

Fingerprint

Generalized Topology
Intersection
Open set
Union
Topology
Arbitrary

Keywords

  • Envelope operation
  • Generalized topology
  • Kernel operation
  • Ultratopology

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ultratopologies generated by generalized topologies. / Császár, A.

In: Acta Mathematica Hungarica, Vol. 110, No. 1-2, 01.2006, p. 153-157.

Research output: Contribution to journalArticle

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