Quotients of Banach spaces and surjectively universal spaces
Volume 197 / 2010
Studia Mathematica 197 (2010), 171-194
MSC: Primary 46B03; Secondary 03E15, 05D10.
DOI: 10.4064/sm197-2-4
Abstract
We characterize those classes $\cal C$ of separable Banach spaces for which there exists a separable Banach space $Y$ not containing $\ell_1$ and such that every space in the class $\cal C$ is a quotient of $Y$.