On the $C_k$-stable closure of the class of (separable) metrizable spaces

Taras Banakh, Saak Gabriyelyan

Denote by ${\mathbf{C}}_k[\mathfrak{M}]$ the $C_k$-stable closure of the class $\mathfrak{M}$ of all metrizable spaces, i.e., ${\mathbf{C}}_k[\mathfrak{M}]$ is the smallest class of topolog…