完备化σ域族的结构与上升σ域族的通常化

Construction of Completion and Usual Augmentation About A Filtered Space

首先给出了完备σ域族的结构,进一步还讨论了一个上升σ域族通常化问题,指出先完备化后右连续化与先右连续化再完备化所得的通常化结果是一致的.还给出了一个具体例子说明了以上结论的应用.

First we give a completed conclusion in a filtered space, then we discuss a usual augmentation in a filtered space. We point out that it will be the same that make complete first then right-continuous and make right-continuous first then complete. Besides, we also give the concrete example to show the use of conclusion as mentioned above.