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京都大学数理解析研究所

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ISSN 1880-2818

数理解析研究所講究録2079 RIMS共同研究(公開型)

モデル理論における独立概念と次元の研究

京都大学数理解析研究所

2018年8月

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RIMS Kôkyûroku 2079

Model theoretic aspects of the notion of independence and dimension

December 12~14, 2016 edited by Koichiro Ikeda

August, 2018

Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan

This is a report ofresearch done at the Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University

The papers contained herein are in final form and will not be submitted for publication elsewhere.

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モデル理論における独立概念と次元の研究

Model theoretic aspects of the notion of independence and dimension RIMS共同研究(公開型)報告集

2016年12月12日~12月14日 研究代表者 池田 宏一郎(Koichiro Ikeda)

月次

1. Bi-interpretability from a Categorical Viewpoint

荒武 永史(Hisashi Aratake) 京大(Kyoto U.)

2. Small stable theories with the tree property 13

池田 宏一郎(Koichiro Ikeda) 法政大(Hosei U.)

3. Model completeness revisited 昌典(Masanori Itai)

板井 Tokai U.)

4. INDEPENDENCE IN QUASIMINIMAL CLASSES 27

Kaisa Kangas U. Helsinki

5. A relation between definable G vector bundles and definable fiber bundles 川上 智博(Tomohiro Kawakami)

和歌山大(Wakayama U.)

6. BALANCED ZERO-SUM SEQUENCES AND MINIMAL

INTRINSIC EXTENSIONS 54

桔梗 宏孝(Hirotaka Kikyo)

神戸大(Kobe U.)

7. On decomposable generic graphs 61

前園 久智(Hİsatomo Maesono) 早大(Waseda U.)

8. On definable amenability ofdefinable groups in simple theories 68 岡部 峻典(Shunsuke Okabe) 神戸大(Kobe U.)

9. On the infinite Ramsey property for random graph 73

竹内 耕太(Kota Takeuchi) 筑波大(U. Tsukuba)

1 0. On the number of independent orders

坪井 明人(Akito Tsuboi) 筑波大(U. Tsukuba)

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