Moore机器的若干应用

Some Applications of the Moors Spaces Machines

中文关键词:  弱Lindelof  CCC  DCCC  星仿紧  强星可遮

英文关键词:weak Lindelof  CCCC  DCCC  star-paracompact  star-strongly screenable.

中文摘要:

      本文利用Ｇ．Ｍ．Ｒｅｅｄ构造的Ｍｏｏｒｅ机器证明了：（１）Ｍｏｏｒｅ空间中的弱Ｌｉｎｄｅｌｏｆ住严格介于ＣＣＣ与ＤＣＣＣ之间．（２）强星可遮的Ｍｏｏｒｓ空间不必是星仿紧的．

英文摘要:

      We make use of the Moors space machines constructed by G. M. Reed to prove: that the weak Lindelof property is strictly located between CCC and DCCC in Moors spaces, and a star-strongly screenable Moors space need not be star-paracompact