On weakly analytic subsets of \(\ell^ \infty\) (Q1812741)

Let \(\Delta_ 0=\{-1,1\}^ N\), considered as a subspace of \(\ell^ \infty\). It is known [\textit{M. Talagrand}, Indiana Univ. Math. J. 27, No. 6, 1001-1004 (1978; Zbl 0396.28007)] that there exists a non-weakly Borel subset of \(\Delta_ 0\). Complementing Talagrand's result, the authors show that every subset of \(\Delta_ 0\) is weakly analytic, i.e. is the continuous image of a weakly Borel subset of \(\Delta_ 0\).