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paper

Killing Luzin and Sierpinski sets

arXiv:math/9401215

Abstract

We will kill the old Luzin and Sierpinski sets in order to build a model where U(Meager) = U(Null)= aleph_1 and there are neither Luzin nor Sierpinski sets. Thus we answer a question of J. Steprans, communicated by S. Todorcevic on route from Evans to MSRI.