D-完井、井过滤和澄清
D-completion, well-filterification and sobrification
摘要：
本文分别得到了T0空间的D-完备化是其良滤化、良滤化是其sobrification、D-完备化是其sobrification的几个充分条件.此外，我们还举例说明了锥形闭集既不是有向集的闭包，也不是闭KF-集。由于锥化闭集是一个闭WD-集，该例也对徐文中提出的一个问题给出了否定的回答。同时，利用预c紧元的概念给出了T0空间D-完备化的一个新的直接刻画.
英文摘要：
In this paper, we obtain some sufficient conditions for the D-completion of a T0 space to be the well-filterification of this space, the well-filterification of a T0 space to be the sobrification of this space and the D-completion of a T0 space to be the sobrification, respectively. Moreover, we give an example to show that a tapered closed set may be neither the closure of a directed set nor the closed KF-set, respectively. Because the tapered closed set is a closed WD-set, the example also gives a negative answer to a problem proposed by Xu. Meantime, a new direct characterization of the D-completion of a T0 space is given by using the notion of pre-c-compact elements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
