This is an announcement for the paper “The universal separable Banach space with a monotone unordered basis” by Taras Banakhhttps://arxiv.org/find/math/1/au:+Banakh_T/0/1/0/all/0/1, Joanna Garbulińska-Węgrzynhttps://arxiv.org/find/math/1/au:+Garbulinska_Wegrzyn_J/0/1/0/all/0/1.
Abstract: Using the technique of Fra"iss'e theory we construct a universal object in the class of separable Banach spaces with normalized monotone unordered Schauder basis.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1801.07433