首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Lindelöf property and absolute embeddings
Authors:A Bella  I V Yaschenko
Institution:Dipartimento di Matematica, Citta Universitaria, Viale A.Doria 6, 95125, Catania, Italy ; Moscow Center for Continuous Mathematical Education, B.Vlas'evskij per. 11, 121002, Moscow, Russia
Abstract:It is proved that a Tychonoff space is Lindelöf if and only if whenever a Tychonoff space $Y$ contains two disjoint closed copies $X_{1}$ and $X_{2}$ of $X$, then these copies can be separated in $Y$ by open sets. We also show that a Tychonoff space $X$ is weakly $C$-embedded (relatively normal) in every larger Tychonoff space if and only if $X$ is either almost compact or Lindelöf (normal almost compact or Lindelöf).

Keywords:Lindel\"{o}f space  normal space  relative topological property  embedding  almost compact space
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号