| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9502820 | Journal of Mathematical Analysis and Applications | 2005 | 8 Pages |
Abstract
The lim-inf convergence in a complete lattice was introduced by Scott to characterize continuous lattices. Here we introduce and study the lim-inf convergence in a partially ordered set. The main result is that for a poset P the lim-inf convergence is topological if and only if P is a continuous poset. A weaker form of lim-inf convergence in posets is also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhao Bin, Zhao Dongsheng,