A note on order convergence in complete lattices
- authored by
- H. Dobbertin, M. Erné, D. C. Kent
- 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.
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Washington State University Pullman
- Type
- Article
- Journal
- Rocky Mountain Journal of Mathematics
- Volume
- 14
- Pages
- 647-654
- No. of pages
- 8
- ISSN
- 0035-7596
- Publication date
- 1984
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.1216/RMJ-1984-14-3-647 (Access:
Open)
