On Some Generalized Countably Compact Spaces
Received:January 09, 2019  Revised:May 26, 2019
Key Word: real-valued functions   $g$-functions   quasi-$\gamma$ spaces   quasi-Nagata spaces   $wN$-spaces   $M^{\#}$-spaces   $wM$-spaces
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11401262).
 Author Name Affiliation Erguang YANG School of Mathematics $\&$ Physics, Anhui University of Technology, Anhui 243032, P. R. China
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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.