诱导空间的分子网收敛特征

The characterizations of convergence of molecular nets for induced spaces

研究了诱导空间的分子网收敛理论,给出诱导空间的几个与分子网收敛有关的刻画,从本质上揭示了诱导空间分子网收敛的特征及与之相关的闭包运算的内部结构。另外,作为应用,解决了《L-fuzzy拓扑空间论》中提出的关于序列式空间的几个问题。

The theory of convergence of molecular nets in induced spaces is studied systematically. Some descriptions about the convergence of molecular nets for induced spaces are given, and the intrinsic structures of molecular nets and closure operator in induced spaces are revealed. On the other hand, as applications of the theory, some problems of the sequential spaces in the writing 'The theory of L-fuzzy Topological Spaces' are solved.