【摘要】 类似于拓扑空间的情形,本文定义了有限拟阵的T0,T1,T2,正则及正规分离性并刻画了它们。证明了这五种分离性之间,除了T2蕴含其余四种分离性、T1蕴含T0、正则蕴含正规之外,再没有任何蕴含关系。此外还证明了T0,T1,T2和正则分离性是遗传的,正规分离性是闭遗传的。更多还原

【Abstract】 Separation axioms T0, T1, T2, regular, and normal of finite matroids are defined analogously to those in topological spaces. It is proved that T2 implies the rest four,T1 implies T0,regular implies normal,but no others. It is also proved that T0,T1,T2 and regular are hereditary, and that normal is hereditary with respect to closed submatroids.更多还原