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

• 本文研究由它们导出的关于子基的连通性的概念，它比一般拓扑学中的连通性的概念弱，但具有许多类似的性质，这些性质事实上也是连通性相应结果的推广。