Israel Journal of Mathematics

, Volume 68, Issue 1, pp 1–17 | Cite as

MA(σ-centered): Cohen reals, strong measure zero sets and strongly meager sets

  • Haim Judah
  • Saharon Shelah


We prove thatMA(σ-centered) + the Dual Borel Conjecture is consistent; and thatMA(σ-centered) + the non-additivity of the ideal of the strong measure zero sets also is consistent.


Finite Union Random Real Strong Measure Force Notion Finite Support 


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Copyright information

© Hebrew University 1989

Authors and Affiliations

  • Haim Judah
    • 1
  • Saharon Shelah
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA
  2. 2.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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