relative topology

We introduce and study connectedness relative to a subbase for the topology, and obtain their some properties, which generalize connectedness in a general topology.

在最近由它们导入的关于子基的连通性基础上，给出了关于子基的局部连通性概念，并研究它的性质，得到一般拓扑学中局部连通性的一种推广。

We should pay attention to the cross relation of all kinds subject, arrange and merge relative content of mathematical analysis in the advance algebra, the real analysis, function analysis and the point topology.

注意各门学科之间的交叉关系，将高等代数、实变函数、泛函分析、点集拓扑等相关内容与数学分析进行整合。

When the range of damage influence and the relative importance for each component is determined, the geometric topology of the structure can be analyzed.

确定了构件损伤的影响范围和相对重要性，进而可以分析结构拓扑分布的合理性。

This paper is a continuous approach of paper [ 2] [ 3] based on paper [ 1]. Connectivity of lattice topology is discussed, relative results in general topology are mostly extened to lattice topology, and some interesting results are also obtained.

本文在文献[1]的框架下，继续文献[2][3]的工作，讨论格拓扑空间的连通性，几乎把普通拓扑的有关结论都推广到格拓扑中来，并且得到一些有趣的结果。