Permanent problem IDPPL 039
Combinatorics
Let A⊆ℝ be an infinite set. Must there be a set E⊂ ℝ of positive measure which does not contain any set of the shape aA+b for some a,b∈ℝ and a≠ 0?
Let A⊆ℝ be an infinite set. Must there be a set E⊂ ℝ of positive measure which does not contain any set of the shape aA+b for some a,b∈ℝ and a≠ 0?
A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.