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ISSN

$1880\cdot 2818$

数理解析研究所講究録 1790

記述集合論の展望

京都大学数理解析研究所

2012 年 4 月

(2)

RIMS K\^oky\^uroku 1790

Aspects of Descrip tive Set Theory

October

$19\sim 21_{J}$

2011 edited by Hiroshi Fujita

April, 2012

Research Institute for Mathematical Sciences Kyoto University, Kyoto, Japan

This is a report of research done at the Research Institute for Mathematical

Sciences,

Kyoto University. The papers contained herein are in final form

and will not be submitted for publication elsewhere.

(3)

記述集合論の展望 Aspects of DescriptiveSetTheory

RIMS研究集会報告集

2011年10月19日$\sim 10$21

研究代表者 藤田 博司 (Hiroshi Fujita)

目次

1.

ALMOST DISJOINT AND INDEPENDENT FAMILIES $——————————–1$

Hausdorff Center forMath. Stefan Geschke

2.

Notes

on an

old theorem ofErd\’os conceming CH $—————————————–10$

愛媛大理工学 (Ehime U.) 藤田 博司 (Hiroshi Fujita)

3.

Descriptive set theoryofcomplete quasi-metric sPaces $———————————-16$

情報通信研究機構 (NICT) Matthew de Brecht

4.

On reflection and non-reflection of countable list-chromatic number ofgraphs $—–31$

神戸大システム情報学 (Kobe U.) 渕野 昌 (Saka\’e Fuchino)

$\prime\prime$

酒井 拓史 (Hiroshi Sakai)

5.

VARIATIONSOF FODORREFLECTION PRINCIPLESBemhard K\"oning

$—-45$

6.

A ForcingAxiom andChang’s Conjecture $——————arrow——————————51$

南山大経営 (Nanzan U.) 宮元 忠敏 (Tadatoshi Miyamoto)

7.

NOTES ON MIYAMOTO’S FORCING AXIOMS $—————————————-60$

名大情報科学 (Nagoya U.) 薄葉 季路 (Toshimichi Usuba)

8.

UNPREPARED INDESTRUCTIBILITY $—————————————————65$

神戸大システム情報学 (KobeU.) Andrew D. Brooke-Taylor

9.

SOME RESULTS IN THE EXTENSION WITH A COHERENT SUSLIN TREE 72 神戸大システム情報学 (Kobe U.) Dilip Raghavan

静岡大理 (Shizuoka U.) 依岡 輝幸 (Temyuki Yorioka)

参照

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