Universal sets of minimal Borel complexity exist for the null ideal, meager ideal, the ideal E generated by closed null sets, K_sigma, Laver ideal, and Fubini products of null and meager.
Kunen, Random and Cohen reals, Handbook of set-theoretic topol- ogy, Elsevier Science Publishers B.V
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Universal sets for ideals
Universal sets of minimal Borel complexity exist for the null ideal, meager ideal, the ideal E generated by closed null sets, K_sigma, Laver ideal, and Fubini products of null and meager.