预拓扑分子格上的连通性

Connectivity in pretopological molecular lattices

定义了预拓扑分子格上的连通性的概念,并给出了它的两个等价刻画,最后讨论了此连通性的一些基本性质,得出如它是同胚不变的,也是可积的等重要结论.

In this paper, the concept of connectivity is defined in pretopologiocal molecular lattices, two characterizations of the connectivity are given, and then some of its important properties are discussed. Especially some important conclusions are obtained. For example, the connectedness is homemorphic and productive.