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A note on order convergence in complete lattices

Research output: Contribution to journal › Article › Research › peer review

Authors

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

Research Organisations

External Research Organisations

  • Washington State University Pullman

Details

Original languageEnglish
Pages (from-to)647-654
Number of pages8
JournalRocky Mountain Journal of Mathematics
Volume14
Issue number3
Publication statusPublished - 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 subject areas

Cite this

A note on order convergence in complete lattices. / Dobbertin, H.; Erné, M.; Kent, D. C.
In: Rocky Mountain Journal of Mathematics, Vol. 14, No. 3, 1984, p. 647-654.

Research output: Contribution to journal › Article › Research › 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 ; Vol. 14, No. 3. pp. 647-654.
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