Kobe Colloquium on Logic, Statistics and Informatics

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日時：2014年1月27日（火）13:20-14:50 講演者：Monroe Eskew （筑波大学） 場所：神戸大学自然科学総合研究棟3号館4階421室（プレゼンテーション室）

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題目： A global version of Chang’s conjecture

アブストラクト： In the 80s, Foreman showed the consistency of (aleph_{n+1},aleph_n) —>> (aleph_{m+1},aleph_m) holding simultaneously for all natural numbers n > m, starting from a 2-huge cardinal. He asked whether a global version of Chang’s conjecture is consistent. We answer this, showing that it is consistent from the same hypothesis that for all pairs of regular cardinals mu < kappa, (kappa^+,kappa) —>> (mu^+,mu). The method uses a relatively simple forcing iteration, and it answers some technical questions raised by Shioya. We also discuss some related issues about singular cardinals.

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交通：阪急六甲駅またはJR六甲道駅から神戸市バス36系統「鶴甲団地」 行きに乗車，「神大本部工学部前」停留所下車，徒歩すぐ． http://www.kobe-u.ac.jp/info/access/rokko/rokkodai-dai2.htm