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RIMS Kôkyûroku

No.2308

2023/12/04〜2023/12/06

竹内　耕太

Kota Takeuchi

目　次

1. Dividing and Forking in Random Structures : Easy Case (Model theoretic aspects of the notion of independence and dimension)-------1

　　　　筑波大学　　　坪井 明人　(Tsuboi,Akito)

　

2. Some Remarks on Automorphisms with a Single Orbit (Model theoretic aspects of the notion of independence and dimension)-----------7

　　　　神戸大学大学院システム情報学研究科　　　桔梗 宏孝　(Kikyo,Hirotaka)

　

3. RELATIVIZED LASCAR, KIM-PILLAY, SHELAH GROUPS (Model theoretic aspects of the notion of independence and dimension)--------------12

　　　　Department of Mathematics, Yonsei University　　　Lee,Hyoyoon

　

4. LOCAL MODULARITY, PILLAY'S ONE-BASEDNESS AND CF-PROPERTY IN $o$-MINIMAL STRUCTURES (Model theoretic aspects of the notion of independence and dimension)---19

　　　　徳山工業高等専門学校　　　米田 郁生　(Yoneda,Ikuo)

　

5. EXISTENCE AXIOM OF PRE-INDEPENDENCE RELATIONS IN NSOP$_{1}$ THEORIES (Model theoretic aspects of the notion of independence and dimension)---26

　　　　KIAS　　　Kim,Joonhee

　

6. A note on $\omega$-categorical stable theories (Model theoretic aspects of the notion of independence and dimension)-------------35

　　　　法政大学　　　池田 宏一郎　(Ikeda,Koichiro)

　

7. On rationality of Poincar\'{e} series in expansions of the $p$-adic fields (Model theoretic aspects of the notion of independence and dimension)---40

　　　　筑波大学　　　大倉 昂貴　(Okura,Koki)

　

8. On ultraproducts of o-minimal structures (Model theoretic aspects of the notion of independence and dimension)-------------------46

　　　　早稲田大学グローバルエデュケーションセンター　　　前園 久智　(Maesono,Hisatomo)

　

9. Definable $\mathcal{C}$$^r$ imbedding theorem (Model theoretic aspects of the notion of independence and dimension)--------------54

　　　　海上保安大学校 / 和歌山大学　　　藤田 雅人 / 川上 智博　(Fujita,Masato / Kawakami,Tomohiro)

　

10. A summary on dimension theory and decomposition into special submanifolds in definably complete locally o-minimal structures (Model theoretic aspects of the notion of independence and dimension)---58

　　　　海上保安大学校　　　藤田 雅人　(Fujita,Masato)

　

11. Uniqueness of prime models in definably complete locally o-minimal theories (Model theoretic aspects of the notion of independence and dimension)---73

　　　　筑波大学理工情報生命学術院数理物質科学研究群　　　小峰 航　(Komine,Wataru)