L3*系统中逻辑度量空间的拓扑性质

J4 ›› 2010, Vol. 45 ›› Issue (6): 86-90.

胡明娣^1,2,折延宏¹,王敏³

1. 陕西师范大学数学与信息科学学院, 陕西西安 710062;
2. 安康学院数学系, 陕西安康 725000; 3. 安康学院物理系, 陕西安康 725000

HU Ming-Di1,2, SHE Yan-Hong1, WANG Min3

1. Institute of Mathematics, Shaanxi Normal University, Xi’an 710062, Shaanxi, China;
2. Department of Mathematics, Ankang College, Ankang 725000, Shaanxi, China;
3. Department of Physics, Ankang College, Ankang 725000, Shaanxi, China

摘要：

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”。

关键词: L₃*系统; 逻辑度量空间; 不完备; 非紧致空间; 零维空间

Key words: the system L₃*; logic metric space; in complete; noncompact space; zero dimensional space

胡明娣1,2,折延宏1,王敏3. L₃*系统中逻辑度量空间的拓扑性质[J]. J4, 2010, 45(6): 86-90.

HU Ming-Di, SHE Yan-Hong, WANG Min. Topological properties of three-valued logic metric space[J]. J4, 2010, 45(6): 86-90.

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