On uniformly continuous surjections between $C_p$-spaces over metrizable spaces

A. Eysen, A. Leiderman, V. Valov

Let $X$ be metrizable, $Y$ be perfectly normal and suppose that there exists a uniformly continuous surjection $T:C_p(X)\to C_p(Y)$ (resp., $T:C_p^{\ast }(X)\to C_p^{\ast }(Y)$), w…