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A note on order convergence in complete lattices

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • H. Dobbertin
  • M. Erné
  • D. C. Kent

Organisationseinheiten

Externe Organisationen

  • Washington State University Pullman

Details

OriginalspracheEnglisch
Seiten (von - bis)647-654
Seitenumfang8
FachzeitschriftRocky Mountain Journal of Mathematics
Jahrgang14
Ausgabenummer3
PublikationsstatusVeröffentlicht - 1984

Abstract

Order convergence is studied in a complete lattice L1 which is the image of another complete lattice L under a complete homomorphism. The goal is to relate order convergence in L to that in L1. For instance, we show that order convergence in L1 is pretopological if it is pretopological in L, while topological order convergence is in general not preserved under complete images. We conclude with some applications and examples.

ASJC Scopus Sachgebiete

Zitieren

A note on order convergence in complete lattices. / Dobbertin, H.; Erné, M.; Kent, D. C.
in: Rocky Mountain Journal of Mathematics, Jahrgang 14, Nr. 3, 1984, S. 647-654.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Dobbertin H, Erné M, Kent DC. A note on order convergence in complete lattices. Rocky Mountain Journal of Mathematics. 1984;14(3):647-654. doi: 10.1216/RMJ-1984-14-3-647
Dobbertin, H. ; Erné, M. ; Kent, D. C. / A note on order convergence in complete lattices. in: Rocky Mountain Journal of Mathematics. 1984 ; Jahrgang 14, Nr. 3. S. 647-654.
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