Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664971 | Acta Mathematica Scientia | 2009 | 9 Pages |
Abstract
In this article, the authors mainly study how to obtain new semicontinuous lattices from the given semicontinuous lattices and discuss the conditions under which the image of a semicontinuous projection operator is also semicontinuous. Moreover, the authors investigate the relation between semicontinuous lattices and completely distributive lattices. Finally, it is proved that the strongly semicontinuous lattice category is a Cartesian closed category.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)