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Borel sets without perfectly many overlapping translations, II (1909.00937v3)
Published 3 Sep 2019 in math.LO
Abstract: For a countable ordinal epsilon we construct a Sigma0_2 subset of the Cantor space for which one may force aleph_epsilon translations with intersections of size 2i, but such that it has no perfect set of such translations in any ccc extension. These sets have uncountably many translations with intersections of size 2i in ZFC, so this answers Problem 3.4 of arxiv:1711.04058 .