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关于某些广义可数紧空间
引用本文:杨二光.关于某些广义可数紧空间[J].数学研究及应用,2019,39(5):540-550.
作者姓名:杨二光
作者单位:安徽工业大学数理科学与工程学院, 安徽 马鞍山 243032
基金项目:国家自然科学基金(Grant No.11401262).
摘    要:We first give alternative expressions of some generalized countably compact spaces such as quasi-γ spaces, quasi-Nagata spaces, M#-spaces and wM-spaces with g-functions. Then by means of these expressions, we present some characterizations of the corresponding spaces with real-valued functions.

关 键 词:实值函数    $g$-函数    拟-$\gamma$空间    拟-Nagata空间    $wN$-空间    $M^#$-空间    $wM$-空间
收稿时间:2019/1/9 0:00:00
修稿时间:2019/5/26 0:00:00

On Some Generalized Countably Compact Spaces
Erguang YANG.On Some Generalized Countably Compact Spaces[J].Journal of Mathematical Research with Applications,2019,39(5):540-550.
Authors:Erguang YANG
Abstract:We first give alternative expressions of some generalized countably compact spaces such as quasi-$\gamma$ spaces, quasi-Nagata spaces, $M^{\#}$-spaces and $wM$-spaces with $g$-functions. Then by means of these expressions, we present some characterizations of the corresponding spaces with real-valued functions.
Keywords:real-valued functions  $g$-functions  quasi-$\gamma$ spaces  quasi-Nagata spaces  $wN$-spaces  $M^{\#}$-spaces  $wM$-spaces
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