LF拓扑空间中的r-Lindelff可数性质

The r-Lindelff Countable Property in LF Topological Spaces

在LF拓扑空间中借助LF-r闭集定义了r远域族与r-远域族,进一步引入r-Lindelff可数性和弱r-Lindelff可数性的概念,证明了r-Lindel可数性和弱r-Lindel可数性对于LF-r闭子集是遗传的,是r拓扑性质。

The concepts of r remote neighborhood family and r-remote neighborhood family are defined by means of LF-r closed set in LF topological spaces. Moreover, r-Lindeloff countable property and weakly r-Lindeloff countable property are introduced. It is proved that r-Lindeloff countable property and weakly r-Lindeloff countable property are hereditary for LF-r closed set and r topological property.