关于某些广义可数紧空间

On Some Generalized Countably Compact Spaces

中文关键词:  实值函数  $g$-函数  拟-$\gamma$空间  拟-Nagata空间  $wN$-空间  $M^#$-空间  $wM$-空间

英文关键词:real-valued functions  $g$-functions  quasi-$\gamma$ spaces  quasi-Nagata spaces  $wN$-spaces  $M^{\#}$-spaces  $wM$-spaces

中文摘要:

      本文首先利用$g$-函数给出拟-$\gamma$空间、拟-Nagata空间、$M^#$-空间及$wM$-空间等广义可数紧的其它等价表示形式.然后借助这些等价表示形式给出相应空间类的实值函数刻画.

英文摘要:

      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.