فهرست نشریات علمی دسترسی آزاد ایران

Let $S_\lambda(X)=\{f\in C(X) : |X\setminus Z(f)|<\lambda\}$, such that $\lambda$ is a regular cardinalnumber with $\lambda\leq |X|$.It is generalization of $C_F (X)=S_{\aleph_0}(X)$ and$SC_F(X)=S_{\aleph_1}(X)$. Usingthis concept we extend some of the basic results concerning the socleto $S_\lambda(X)$. It is shown thatif $X$ is a $\lambda$-pseudo discrete space, then $C_{K,\lambda}(X)\subseteq S_{\lambda}(X)$.$S_{\lambda}$-completely regular spaces are investigated.Consequently, $X$ is a $S_{\aleph_1}$-completely regular space if and only if $X$ is $\aleph_1$-zero dimensional space.$S_{\lambda}P$-spaces are introduced and studied.