Quotients of Banach spaces and surjectively universal spaces

preprint2010arXivOpen access

We characterize those classes $\mathcal{C}$ 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 $\mathcal{C}$ is a quotient of $Y$ .

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Quotients of Banach spaces and surjectively universal spaces

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