Strong measure zero sets without Cohen reals

Author:

Goldstern Martin,Judah Haim,Shelah Saharon

Abstract

AbstractIf ZFC is consistent, then each of the following is consistent with :(1) X ⊆ ℝ is of strong measure zero iff ∣X∣ ≤ ℵ1 + there is a generalized Sierpinski set.(2) The union of ℵ many strong measure zero sets is a strong measure zero set + there is a strong measure zero set of size ℵ2 + there is no Cohen real over L.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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