On the structure of the matrix corresponding to a finite topology
On the structure of the matrix corresponding to a finite topology
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关于有限拓扑对应的矩阵的结构
DOI：
10.21099/tkbjm/1496162452
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发表时间：
1994
影响因子：
0.7
通讯作者：
S. Ochiai
中科院分区：
文献类型：
--
作者：
S. Ochiai
关于w-集上有限拓扑的计数，我们引入了一个数a{K)，它定义在n-集上对应于有限拓扑学的矩阵K上，并研究了它的性质。本文对有限拓扑对应的矩阵的结构进行了研究，给出了任意n×n矩阵K对应于a to拓扑的下列不等式：
In connection with enumeration of finite topologies on an w-set, we introduced a number a{K) which is defined on the matrix K corresponding to a finitetopology on an n-set and investigated its properties [2]. In this paper, we shall carry on our studies on the structure of the matrix corresponding to a finite topology and show the following inequality for an arbitrary nXn matrix K which corresponds to a To topology: