Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657883 | Topology and its Applications | 2016 | 11 Pages |
Abstract
By introducing new approximation relations on posets, the notion of S⁎S⁎-doubly continuous posets is proposed and its relationship with doubly continuous posets is presented. Aslo the B-topology on posets is defined and the special properties of the B-topology on S⁎S⁎-doubly continuous posets are studied. Then, a sufficient and necessary condition for the Birkhoff's order-convergence in a poset being topological is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Tao Sun, Qingguo Li, Lankun Guo,