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Closed sets which consistently have few translations covering the line

Volume 237 / 2017

Tomek Bartoszynski, Paul Larson, Saharon Shelah Fundamenta Mathematicae 237 (2017), 101-125 MSC: Primary 03E17; Secondary 03E35. DOI: 10.4064/fm191-8-2016 Published online: 27 December 2016


We characterize the compact subsets $K$ of $2^{\omega }$ for which one can force the existence of a set $X$ of cardinality less than the continuum such that $K+X=2^{\omega }$.


  • Tomek BartoszynskiDivision of Mathematical Sciences
    National Science Foundation
    Arlington, VA 22230, U.S.A.
  • Paul LarsonDepartment of Mathematics
    Miami University
    Oxford, OH 45056, U.S.A.
  • Saharon ShelahDepartment of Mathematics
    Hebrew University
    Jerusalem, Israel

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