A Family of Permitted Trigonometric Thin Sets

  title={A Family of Permitted Trigonometric Thin Sets},
  author={Miroslav Repick{\'y}},
We introduce the notion of perfectly measure zero sets and prove that every perfectly measure zero set is permitted for the families of all pseudoDirichlet sets, N0-sets, A-sets and N-sets. In particular this means that these families of trigonometric thin sets are closed under adding sets of cardinality less than the additivity of Lebesgue measure. §0. Introduction Let F be a family of sets of reals. Let A,B ∈ F . We say that a set A is Fpermitted for B if A∪B ∈ F . A set A is F-permitted if A… CONTINUE READING

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