CHARACTERIZING STABLE COMPLETE ERDŐS SPACE BY Jan

We focus on the space Ec , the countable infinite power of complete Erdős space Ec. Both spaces are universal spaces for the class of almost zerodimensional spaces. We prove that Ec has the property that it is stable under multiplication with any complete almost zero-dimensional space. We obtain this result as a corollary to topological characterization theorems that we develop for Ec . We also show that σ-compacta are negligible in Ec and that the space is countable dense homogeneous.