The $\sigma$-product of complete Erd\H{o}s space

Abstract

We show that the $\sigma$-product of complete Erd\H{o}s space $\mathfrak E_{\mathrm{c}}$ is homeomorphic to the rational product $\mathbb Q\times \mathfrak E_{\mathrm{c}}$, answering a question by Rodrigo Hern\'{a}ndez-Guti\'{e}rrez and Alfredo Zaragoza.