%0 Journal Article %T On unconditionally saturated Banach spaces %A Pandelis Dodos %A Jordi Lopez-Abad %J Mathematics %D 2008 %I arXiv %X We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set $\aaa$, in the Effros-Borel space of subspaces of $C[0,1]$, of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space $Y$, with a Schauder basis, that contains isomorphic copies of every space $X$ in the class $\aaa$. %U http://arxiv.org/abs/0805.2046v1