杨二光.关于某些广义可数紧空间II[J].数学研究及应用,2021,41(4):416~424 |
关于某些广义可数紧空间II |
On Some Generalized Countably Compact Spaces II |
投稿时间:2020-04-09 修订日期:2020-08-02 |
DOI:10.3770/j.issn:2095-2651.2021.04.009 |
中文关键词: 实值函数 半连续 $g$-函数 拟-$\gamma$空间 $w\gamma$-空间 拟-Nagata空间 $wN$-空间 $M^#$-空间 $wM$-空间 |
英文关键词:real-valued functions semi-continuity $g$-functions quasi-$\gamma$ spaces $w\gamma$-spaces quasi-Nagata spaces $wN$-spaces $M^{\#}$-spaces $wM$-spaces |
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中文摘要: |
文[Erguang YANG. On some generalized countably compact spaces. J. Math. Res. Appl., 2019, 39(5): 540-550]中给出了对某些广义可数紧空间,如拟-$\gamma$空间、拟-Nagata空间、$wN$-空间及$wM$-空间等的实值函数刻画.本文继续这一研究,给出了上述空间类的其它形式的实值函数刻画. |
英文摘要: |
This paper is a continuation of [Erguang YANG. On some generalized countably compact spaces. J. Math. Res. Appl., 2019, {\bf 39}(5): 540--550] in which characterizations of some generalized countably compact spaces such as quasi-$\gamma$ spaces, quasi-Nagata spaces, $wN$-spaces and $wM$-spaces in terms of real-valued functions were obtained. In this paper, we shall present some other forms of characterizations of the spaces mentioned above. |
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