No.1595

2007/11/28〜2007/11/30

嘉田　勝

Masaru Kada

目　次

1. Partitions of the reals and models of $ZF$ (Axiomatic Set Theory and Set-theoretic Topology)--------------------------------------1

　　　　Instituto Venezolano de Investigaciones Cientificas　　　Prisco, Carlos Augusto Di

　

2. A generalization of a problem of Fremlin (Axiomatic Set Theory and Set-theoretic Topology)----------------------------------------6

　　　　中部大学工学部理学教室　　　渕野 昌　(Fuchino, Sakae)

　

3. Ultrafilters and Higson compactifications (Axiomatic Set Theory and Set-theoretic Topology)--------------------------------------14

　　　　大阪府立大学理学系研究科　　　嘉田 勝　(Kada, Masaru)

　

4. On pair-splitting and pair-reaping pairs of $\omega$ (Axiomatic Set Theory and Set-theoretic Topology)---------------------------20

　　　　　　　南 裕明　(Minami, Hiroaki)

　

5. Club guessing on the least uncountable cardinal and CH (Axiomatic Set Theory and Set-theoretic Topology)-------------------------32

　　　　南山大学数理情報学部　　　宮元 忠敏　(MIYAMOTO, Tadatoshi)

　

6. Certain ideals related to the strong measure zero ideal (Axiomatic Set Theory and Set-theoretic Topology)------------------------37

　　　　大阪府立大学理学系研究科　　　大須賀 昇　(Osuga, Noboru)

　

7. Partial stationary reflection in $\mathcal{P}_{\omega_1}\omega_2$ (Axiomatic Set Theory and Set-theoretic Topology)--------------47

　　　　名古屋大学情報科学研究科　　　酒井 拓史　(Sakai, Hiroshi)

　

8. A NEW SATURATED FILTER (Axiomatic Set Theory and Set-theoretic Topology)---------------------------------------------------------63

　　　　筑波大学数学系　　　塩谷 真弘　(SHIOYA, MASAHIRO)

　

9. PARTITIONING A STATIONARY SET IN $mathcal{P}(\lambda)$ (Axiomatic Set Theory and Set-theoretic Topology)-------------------------70

　　　　名古屋大学情報科学研究科　　　薄葉 季路　(Usuba, Toshimichi)

　

10. THE INEQUALITY $\mathfrak{b}>\aleph_1$ CAN BE CONSIDERED AS AN ANALOGUE OF SUSLIN'S HYPOTHESIS (Axiomatic Set Theory and Set-theoretic Topology)---84

　　　　静岡大学理学部　　　依岡 輝幸　(Yorioka, Teruyuki)

　

11. The variety of $\mathfrak{sa}(X)$ (Axiomatic Set Theory and Set-theoretic Topology)---------------------------------------------89

　　　　名古屋大学情報科学研究科　　　吉信 康夫　(Yoshinobu, Yasuo)