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关于单调亚紧空间
引用本文:李慧,彭良雪.关于单调亚紧空间[J].数学研究及应用,2013,33(3):353-360.
作者姓名:李慧  彭良雪
作者单位:北京工业大学应用数理学院, 北京 100124;北京工业大学应用数理学院, 北京 100124
基金项目:国家自然科学基金(Grant No.11271036),北京市自然科学基金(Grant No.1102002),北京工业大学博士生创新基金.
摘    要:In the first part of this note, we mainly prove that monotone metacompactness is hereditary with respect to closed subspaces and open Fó-subspaces. For a generalized ordered (GO)-space X, we also show that X is monotonically metacompact if and only if its closed linearly ordered extension X* is monotonically metacompact. We also point out that every non-Archimedean space X is monotonically ultraparacompact. In the second part of this note, we give an alternate proof of the result that McAuley space is paracompact and metacompact.

关 键 词:GO-space  paracompact  monotonically  metacompact  monotonically  ultraparacompact.
收稿时间:2011/11/25 0:00:00
修稿时间:2012/3/27 0:00:00

A Note on Monotonically Metacompact Spaces
Hui LI and Liangxue PENG.A Note on Monotonically Metacompact Spaces[J].Journal of Mathematical Research with Applications,2013,33(3):353-360.
Authors:Hui LI and Liangxue PENG
Institution:College of Applied Science, Beijing University of Technology, Beijing 100124, P.R.China
Abstract:In the first part of this note, we mainly prove that monotone metacompactness is hereditary with respect to closed subspaces and open $F_{\sigma}$-subspaces. For a generalized ordered (GO)-space $X$, we also show that $X$ is monotonically metacompact if and only if its closed linearly ordered extension $X^{*}$ is monotonically metacompact. We also point out that every non-Archimedean space $X$ is monotonically ultraparacompact. In the second part of this note, we give an alternate proof of the result that McAuley space is paracompact and metacompact.
Keywords:GO-space  paracompact  monotonically metacompact  monotonically ultraparacompact  
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