L-双拓扑空间的超Lindelf性质

The Ultra-Lindelf Properties in L-bitopological Space

借助α-相关远域族,在L-双拓扑空间中引入BPα-超Lindelf空间和BP-超Lindelf空间,研究了其等价刻画,证明了BP-超Lindelf性质是弱同胚不变性和闭遗传性,是L-好的推广。

The BPa-ultra lindelof space and the BP ultra lindelof space are introduced by a-relative R-neighborhood family in L-bitopological space. Its equivalent condition is studied; The BP-ultra Lindelof property is proved to be weak topological property and closed genetic property. At last,It is proved to be L-good extension.