关于拓扑Boole格上同态的连续性与可逆性

ON THE CONTINUITY AND INVERTIBILITY OF HOMOMORPHISM OF TOPOLOGICAL BOOLEAN LATTICE

提出了拓扑Boole格上同态的下连续性概念,并讨论了拓扑Boole格上同态的上、下连续性间的关系.证明了拓扑Boole格上(0,1)——同态的上连续性与下连续性等价,得出了同态连续性与可逆性的一些等价结果.

The concept of continuity from below of a homomorphism of tepological Boolean Lattice (β to β' was introduced. Relations between the two concepts of continuity from above and continuity from below were discussed. For a (0, 1)- homomorphism of topological Boolean Lattice, it was proved that the continuity from above was equivalent to the continuity from below. Some equivalent results were obtained about the continuity and invertibility of a homomorphism.