No.1754

2010/10/25〜2010/10/28

酒井　拓史

Hiroshi Sakai

目　次

1. Generalized Mathias Forcing (Interplay between large cardinals and small cardinals)-----------------------------------------------1

　　　　神戸大学工学研究科　　　Bice,Tristan

　

2. Remarks on the coloring number of graphs (Interplay between large cardinals and small cardinals)----------------------------------6

　　　　神戸大学大学院システム情報学研究科　　　渕野 昌　(Fuchino,Sakae)

　

3. On points of differentiability of discontinuous functions (Interplay between large cardinals and small cardinals)----------------17

　　　　愛媛大学理工学研究科　　　藤田 博司　(Fujita,Hiroshi)

　

4. Borel approximation of coanalytic sets with Borel sections and the regularity properties for $\sum^1_2$ sets of reals (Interplay between large cardinals and small cardinals)---21

　　　　Department of Mathematics and Statistics, University of Helsinki　　　池上 大祐　(Ikegami,Daisuke)

　

5. Real determinacy and real Blackwell determinacy (Interplay between large cardinals and small cardinals)--------------------------32

　　　　Department of Mathematics and Statistics, University of Helsinki　　　池上 大祐　(Ikegami,Daisuke)

　

6. Remarks on Scheepers' theorem on the cardinality of Lindelof spaces (Interplay between large cardinals and small cardinals)------75

　　　　大阪府立大学理学系研究科　　　嘉田 勝　(Kada,Masaru)

　

7. A class of preorders iterated under a type of RCS (Interplay between large cardinals and small cardinals)------------------------81

　　　　南山大学経営学部　　　宮元 忠敏　(Miyamoto,Tadatoshi)

　

8. Some problems about the uncountable Specker phenomenon (Interplay between large cardinals and small cardinals)-------------------91

　　　　早稲田大学基幹理工学研究科　　　中村 順　(Nakamura,Jun)

　

9. On standard model of Martin's maximum (Interplay between large cardinals and small cardinals)------------------------------------97

　　　　神戸大学システム情報学研究科　　　酒井 拓史　(Sakai,Hiroshi)

　

10. THE EASTON COLLAPSE AND A SATURATED FILTER (Interplay between large cardinals and small cardinals)-----------------------------108

　　　　筑波大学数理物質科学研究科　　　塩谷 真弘　(SHIOYA,MASAHIRO)