Article ID Journal Published Year Pages File Type
4664971 Acta Mathematica Scientia 2009 9 Pages PDF
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)