关于弱MCP空间与弱层空间

On Weak MCP Spaces and Weak Stratifiable Spaces

中文关键词:  MCM空间  $k$-MCM空间  $q$-空间  $k$-半层空间  弱MCP空间  弱层空间.

英文关键词:MCM space  $k$-MCM space  $q$-space  $k$-semistratifiable space  weak MCP space  weak stratifiable space.

中文摘要:

      本文引入了与已知的一些空间类非常类似的两个概念, 我们分别称它们为弱MCP空间与弱层空间. 本文主要讨论了这两空间类的等价命题与一些基本性质, 及它们与原有空间类的关系.

英文摘要:

      In this note, we introduce two new classes of spaces, called weak MCP spaces and weak stratifiable spaces, respectively. The properties of the two new classes of spaces are discussed in this note. Finally, we list the relationship of some known spaces and also raise some questions concerning the two new classes of spaces.