arXiv Analytics

Sign in

arXiv:1909.00937 [math.LO]AbstractReferencesReviewsResources

Borel sets without perfectly many overlapping translations, II

Andrzej Roslanowski, Saharon Shelah

Published 2019-09-03Version 1

For a countable ordinal epsilon we construct a Sigma^0_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 .

Categories: math.LO
Subjects: 03E35, 03E15, 03E50
Related articles: Most relevant | Search more
arXiv:2009.03471 [math.LO] (Published 2020-09-08)
Borel sets without perfectly many overlapping translations, III
arXiv:1406.0701 [math.LO] (Published 2014-06-03, updated 2014-11-24)
Decomposing the real line into Borel sets closed under addition
arXiv:2108.06632 [math.LO] (Published 2021-08-15)
$I$-regularity, determinacy, and $\infty$-Borel sets of reals

Links

Toolbox