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RIMS Kôkyûroku

No.2218

2021/12/13〜2021/12/15

桔梗　宏孝

Hirotaka Kikyo

目　次

1. Pseudo definable spaces (Model theoretic aspects of the notion of independence and dimension)-------------------------------------1

　　　　海上保安大学校 / 和歌山大学 / 筑波大学　　　藤田 雅人 / 川上 智博 / 小峰 航　(Fujita,Masato / Kawakami,Tomohiro / Komine,Wataru)

　

2. Definable $\mathcal{C}$$^{r}$ sheaf on o-minimal spectrum (Model theoretic aspects of the notion of independence and dimension)---7

　　　　海上保安大学校　　　藤田 雅人　(Fujita,Masato)

　

3. THE AKE PRINCIPLE MEETS CLASSIFICATION THEORY (Model theoretic aspects of the notion of independence and dimension)--------------29

　　　　KAIST, Department of Mathematical Sciences　　　Lee,Junguk

　

4. Some results related to Keisler-Shelah isomorphism theorem (Model theoretic aspects of the notion of independence and dimension)---35

　　　　筑波大学　　　坪井 明人　(Tsuboi,Akito)

　

5. DEFINABLE SETS IN DP-MINIMAL ORDERED ABELIAN GROUPS (Model theoretic aspects of the notion of independence and dimension)--------40

　　　　Department of Mathematics, Universidad de los Andes　　　Goodrick,John

　

6. A note on generic structures and the finite set property (Model theoretic aspects of the notion of independence and dimension)---53

　　　　法政大学経営学部　　　池田 宏一郎　(Ikeda,Koichiro)

　

7. PILLAY'S ALTERNATIVE DEFINITION FOR WEAK ELIMINATION OF IMAGINARIES COINCIDES WITH POIZAT'S ORIGINAL ONE (Model theoretic aspects of the notion of independence and dimension)---59

　　　　徳山工業高等専門学校　　　米田 郁生　(Yoneda,Ikuo)

　

8. Some remarks on groups definable in certain generic structures (Model theoretic aspects of the notion of independence and dimension)---64

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

　

9. KIM-FORKING AND KIM-DIVIDING IN NATP THEORIES (Model theoretic aspects of the notion of independence and dimension)--------------71

　　　　Department of Mathematics, Yonsei University　　　Kim,Joonhee

　

10. On model companions of some classes of groups (Model theoretic aspects of the notion of independence and dimension)-------------79

　　　　筑波大学　　　竹内 耕太　(Takeuchi,Kota)

　

11. INDEPENDENCE VS RANK (Model theoretic aspects of the notion of independence and dimension)--------------------------------------85

　　　　Instytut Matematyki, Uniwersytet Warszawski　　　Hoffmann,Daniel Max

　

12. SHELAH-STRONG TYPE AND ALGEBRAIC CLOSURE OVER A HYPERIMAGINARY (Model theoretic aspects of the notion of independence and dimension)---93

　　　　Department of Mathematics, Yonsei University　　　Lee,Hyoyoon

　

13. On Pop's conjecture : Elementary equivalence versus isomorphism (Model theoretic aspects of the notion of independence and dimension)---100

　　　　鹿児島国際大学　　　福崎 賢治　(Fukuzaki,Kenji)

　

14. Supporting the resolution of inconsistencies in specifications based on mathematical argumentation theory (Model theoretic aspects of the notion of independence and dimension)---105

　　　　仙台高等専門学校 / 仙台高等専門学校　　　岡本 圭史 / 穀田 一真　(Okamoto,Keishi / Kokuta,Kazuma)

　

15. Some remarks on locally o-minimal structures (Model theoretic aspects of the notion of independence and dimension)-------------119

　　　　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)