On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology

We prove that for any non-compact connected surface $M$ the group $H_c(M)$ of compactly suported homeomorphisms of $M$ endowed with the Whitney topology is homeomorphic to $R^{\mathrm{\infty }}\times l_2$ or $Z\times R^{\mathrm{\infty }}\times l_2$.