List of Publications

Sakaé Fuchino

  1. Klassifikationstheorie nicht-elementarer Klassen, Diplomarbeit, Berlin (1983).
  2. On the categoricity theorem in $L_{\omega_1\omega}$, Tsukuba Journal of Mathematics, Vol.10, No.1 (1986), 117--120.
  3. 集合論とブール代数, 数学セミナー (Sugaku Seminar), 27, No.06|319 (1988), 53--57.
  4. On $\nu^+$-saturated ordered fields and Boolean algebras, Co-author: Sabine Koppelberg, Algebra Universalis, Vol.27 (1990), 511--520.
  5. Countable Chain Condition の Variations に関するリマーク, 数学 (Sugaku), Vol.43 (1991), No.2, 174--175.
  6. On $\cal L_{\infty\kappa}$-free Boolean algebras, Co-authors: Sabine Koppelberg and Makoto Takahashi, Annals of Pure and Applied Logic, Vol.55 (1992), 265--284.
  7. On the simplicity of the automorphism group of $P(\omega)/fin$, Archive for Mathematical Logic, Vol.31 (1992), 319--330.
  8. On potential embedding and versions of Martin's axiom, Notre Dame Journal of Logic, Vol.33, No.4 (1992), 481--492.
  9. More on $L_{\infty\kappa}$-free Boolean algebras, Co-author: Saharon Shelah (Pub.No.557), in preparation.
  10. On $L_{\infty\kappa}$-Cohen algebras, preprint (1992).
  11. Some problems of Scepin on openly generated Boolean algebras, Proceedings of the Tenth Easter Conference on Model Theory Berlin, Fachbereich Mathematik der Humboldt-Universitaet zu Berlin (1993), 14--29.
  12. Some remarks on openly generated Boolean algebras, Journal of Symbolic Logic, Vol.59 (1994), 302--310.
  13. On the number of openly generated Boolean algebras, Co-author: Saharon Shelah (Pub.No.558), in preparation.
  14. On a theorem of Shapiro, Co-authors: Saharon Shelah (Pub.No.543) and Lajos Soukup, Mathematica Japonica, Vol.40, No.2 (1994).
  15. Sticks and clubs, Coauthors: Saharon Shelah (Pub.No.544) and Lajos Soukup, Annals of Pure and Applied Logic 90, no.1 (1997), 57-77.
  16. Set-theoretic aspects of nearly projective Boolean algebras, Appendix to: Nearly projective Boolean algebras, Lutz Heindorf and Leonid B.Shapiro, Springer Lecture Notes in Mathematics Vol.1596 (1994).
  17. Partial orderings with the weak Freese-Nation property, Co-authors: Sabine Koppelberg and Saharon Shelah (Pub.No.549), Annals of Pure and Applied Logic 80 (1996), 35--54.
  18. A game on partial orderings, Co-authors: Sabine Koppelberg and Saharon Shelah (Pub.No.556), Topology and Its Applications 74 (1996), 141--148.
  19. On absolutely divergent series, Co-authors: Heike Mildenberger, Saharon Shelah and Peter Vojtas, Fundamenta Mathematicae, Vol.160, No.3 (1999) 255-268.
  20. Set theoretic aspects of almost free Boolean algebras, Habilitation thesis, (1995), i--iii, 1-87.
  21. Open Coloring Axiom について, 数学基礎論とその応用， 数理解析研究所講究録930(1995), 京都大学数理解析研究所, 28--41.
  22. More set-theory around the weak Freese-Nation property, Co-author: Lajos Soukup, Fundamenta Matematicae 154 (1997), 159--176.
  23. On a theorem of Helly Co-author: Szymon Plewik, Proceeding of the American Mathematical Society, 127 (1999), 491-497.
  24. Coloring ordinals by reals, Co-author: J"org Brendle, submitted.
  25. Open Coloring Axiom and Forcing Axioms, a survey, preprint (2000).
  26. On the weak Freese-Nation property of P(omega), Co-authors: Stefan Geschke and Lajos Soukup, Archive for Mathematical Logic, Vol.40, (2001) 425-435.
  27. On the weak Freese-Nation property of complete Boolean algebras, Co-authors:Stefan Geschke, Saharon Shelah and Lajos Soukup, Annals of Pure and Applied Logic, 110 (1-3) (2001) 89-105.
  28. Some combinatorial principles defined in terms of elementary submodels, Co-author:Stefan Geschke, (revised version of the preprint: ``Remarks on a paper by Juh\'asz and Kunen''), Fundamenta Mathematicae 181, (2004) 233-255.
  29. Forcing Axioms と連続体問題 --- 公理的集合論の最近の話題から ---, 数学 (Sugaku), Vol.56, No.3 (2004), 248--259.
  30. Destructibility of stationary subsets of P_kappa lambda, Co-author:Greg Piper, preprint.
  31. Principles capturing features of generic extensions by almost side-by-side product, Co-authors:Stefan Geschke and Lajos Soukup, in preparation.
  32. How to drive our families MAD, Co-authors:Stefan Geschke and Lajos Soukup

Books

  1. 20世紀の予想，現代数学の軌跡, 共同執筆（日本評論社編）， 日本評論社 (2000).
  2. Emacs Lisp で作る, 日本評論社，(2003), i--ixx, 1--256.
  3. オートマトン, 日本評論社，in preparation.

Translations

  1. 現代のブール代数, 監訳：廣瀬 建, 共立出版 (株)(Kyoritsu-Shuppan Co.Ltd, 1986) 1--182. (translation of: Sabine Koppelberg, Boolesche Algebren (unpublished))
  2. 数学の基礎, 共訳者：吉田 夏彦, シュプリンガー・フェアラーク東京(株) (Springer-Verlag Tokyo, Inc., 1993), i--xiii, 1--336. (partial translation of: D.Hilbert and P.Bernays, Grundlagen der Mathematik I,II (1939/1970))
  3. 巨大基数の集合論, シュプリンガー・フェアラーク東京(株) (Springer-Verlag Tokyo, Inc., 1998), I -- VI, 1 -- 554. (translation of: A.Kanamori, The Higher Infinite, Springer--Verlag (1994))
Last modified: Tue Aug 11 13:53:40 JST 2020