On Some Generalized Countably Compact Spaces II

DOI：10.3770/j.issn:2095-2651.2021.04.009

 作者 单位 杨二光 安徽工业大学数理科学与工程学院, 安徽 马鞍山 243032

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.

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.