L3^＊系统中逻辑度量空间的拓扑性质

Topological properties of three-valued logic metric space

研究了L3*系统中逻辑度量空间的拓扑性质,证明了逻辑度量空间(F(S),ρ3)是不完备、非紧致零维空间,该空间具有一种类似于樊畿性质的所谓"有限等球连通性"。

Topological properties of logic metric space in the system L3^＊ are studied. It is proved that （F（S） ,ρ3 ） is zero dimensional but not complete and not compact. Also, it possesses a property similar to the Key Fan＇s property for describing connectedness of topological spaces.