S-弱θ-Lindelöff加细空间

摘要

Combining θ-refinable spaces with weak θ-refinable spaces,comparing Lindel?ff spaces with S-paracompact spaces,and studying the conceptions and related properties of them,the new types of spaces are introduced.Namely S-weak θ-Lindel?ff refinable spaces and S-θ-Lindel?ff re-finable spaces.Based on the conceptions of semi-open set and semi-closed set in topological space, the characteristics and properties of S-weak-Lindel?ff and S-θ-Lindel?ff refinable spaces are in-vestigated,then several main results are obtained.Complete S-weak-Lindel?ff refinable spaces are S-subparacompact spaces.The closed Lindel?ff mapping of S-weak θ-Lindel?ff refinable space is also refinable.%结合弱θ-加细空间、θ-加细空间、Lindel?ff空间以及S-仿紧空间的概念和有关性质,新引入了S-弱θ-Lindel?ff加细空间和S-θ-Lindel?ff加细空间.然后在拓扑空间中半开集上研究了S-弱θ-Lindel?ff加细空间和S-θ-Lindel?ff加细空间的刻画性质、完备性、映射性质以及两者之间的关系,并得出几个主要结果.如完备的S-弱θ-Lindel?ff加细空间是S-次仿紧空间;S-弱θ-Lindel?ff加细空间在闭Lindel?ff映射下的像是S-弱θ-Lindel?ff加细空间等.