Sh:532

• Shelah, S. Borel rectangles. Preprint.
• Abstract:
  We prove the consistency of the existence of co-\aleph_1-Souslin equivalence relation on {}^\omega 2 with any pregiven \aleph_\alpha class, \alpha < \omega_1 but not a perfect set of pairwise non-equivalent. We deal also with co-\kappa-Souslin relations, equivalence relations, exact characterizations and \Pi^1_2-equivalence relations and rectangles.

  To 666: problem on equalities of x’s; deal with co-\kappa-Souslin deal with the k-notation and the \alpha-notation.

  2012.8.16 In Poland - July- has written a new try , in order to get a Borel relation with aleph_alpha rectangle but no more, for any countable ordinal alpha. What was written was only the forcing. Yesterday, proofread it, expand - still has to write kappa-Delta pair proof, and thoughts about more than \aleph_y w_1 But the rank in [522, §4] seem not OK, will try to revise

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@article{Sh:532,
 author = {Shelah, Saharon},
 title = {{Borel rectangles}}
}