20 found
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  1.  18
    Notes on Subtlety and Ineffability in P Κ Λ.Yoshihiro Abe - 2005 - Archive for Mathematical Logic 44 (5):619-631.
    .A type of subtlety for Pκλ called “strongly subtle” is introduced to show almost ineffability is consistencywise stronger than Shelah property. The following are also shown: is strongly subtle” has rather strong consequences. The ideal is not strongly subtle} is not λ-saturated, and completely ineffable ideal is not precipitous. In case that λ<κ=2λ, almost λ-ineffability coincides with λ-ineffability. It is not provable that κ is λ<κ-ineffable whenever κ is λ-ineffable.
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  2.  20
    Combinatorial Characterization of $\Pi^11$ -Indescribability in $P{\Kappa}\Lambda$.Yoshihiro Abe - 1998 - Archive for Mathematical Logic 37 (4):261-272.
    It is proved that $\Pi^1_1$ -indescribability in $P_{\kappa}\lambda$ can be characterized by combinatorial properties without taking care of cofinality of $\lambda$ . We extend Carr's theorem proving that the hypothesis $\kappa$ is $2^{\lambda^{<\kappa}}$ -Shelah is rather stronger than $\kappa$ is $\lambda$ -supercompact.
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  3.  43
    Notes on the Partition Property of {\ Mathcal {P} _\ Kappa\ Lambda}.Yoshihiro Abe & Toshimichi Usuba - 2012 - Archive for Mathematical Logic 51 (5-6):575-589.
    We investigate the partition property of ${\mathcal{P}_{\kappa}\lambda}$ . Main results of this paper are as follows: (1) If λ is the least cardinal greater than κ such that ${\mathcal{P}_{\kappa}\lambda}$ carries a (λ κ , 2)-distributive normal ideal without the partition property, then λ is ${\Pi^1_n}$ -indescribable for all n < ω but not ${\Pi^2_1}$ -indescribable. (2) If cf(λ) ≥ κ, then every ineffable subset of ${\mathcal{P}_{\kappa}\lambda}$ has the partition property. (3) If cf(λ) ≥ κ, then the completely ineffable ideal over (...)
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  4.  23
    A Hierarchy of Filters Smaller Than CF_\ Kappa\ Lambda-->.Yoshihiro Abe - 1997 - Archive for Mathematical Logic 36 (6):385-397.
    This research was partially supported by Grant-in-Aid for Scientific Research, Ministry of Education, Science and Culture of Japan Mathematics Subject Classification: 03E05 -->. Following Carr's study on diagonal operations and normal filters on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} ${\cal P}_{\kappa}\lambda$\end{document} in [2], several weakenings of normality have been investigated. One of them is to consider normal filters without \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\kappa$\end{document}-completeness, for example, see DiPrisco-Uzcategui [3]. The other (...)
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  5.  40
    Individual Members 2008.Martın Abadi, Yoshihiro Abe, Andreas Abel, Francine F. Abeles, Andrew Aberdein, J. David Abernethy, Bryant Adams, Klaus T. Aehlig, Fritz Aeschbach & Henry Louis Africk - 2008 - Bulletin of Symbolic Logic 14 (4).
  6.  34
    Individual Members 2005.Martın Abadi, Areski Nait Abdallah, Yoshihiro Abe, Francine F. Abeles, Andrew Aberdein, Vicente Aboites, Nathanael Ackerman, Bryant Adams, John W. Addison Jr & Sergey Adian - 2005 - Bulletin of Symbolic Logic 11 (4).
  7. Individual Members 2010.Martın Abadi, Yoshihiro Abe, Andreas Abel, Francine F. Abeles, Andrew Aberdein, J. David Abernethy, Kuanysh Abeshev, Nate Ackerman, Winfred P. Adams & Miloš Adzic - 2010 - Bulletin of Symbolic Logic 16 (4).
  8.  36
    Some Results Concerning Strongly Compact Cardinals.Yoshihiro Abe - 1985 - Journal of Symbolic Logic 50 (4):874-880.
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  9.  32
    Individual Members 2006.Martın Abadi, Yoshihiro Abe, Francine F. Abeles, Andrew Aberdein, Nathanael Ackerman, Bryant Adams, Klaus T. Aehlig, Fritz Aeschbach, Henry Louis Africk & Bahareh Afshari - 2006 - Bulletin of Symbolic Logic 12 (4):625-681.
  10.  25
    Individual Members 2003.Martın Abadi, Yoshihiro Abe, Francine F. Abeles, Andrew Aberdein, Vicente Aboites, Nathanael Ackerman, Roger D. Acord, Zofia Adamowicz, John W. Addison Jr & Fritz Aeschbach - 2003 - Bulletin of Symbolic Logic 9 (4).
  11.  30
    Strongly Compact Cardinals, Elementary Embeddings and Fixed Points.Yoshihiro Abe - 1984 - Journal of Symbolic Logic 49 (3):808-812.
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  12.  19
    Combinatorics for Small Ideals on Pkλ.Yoshihiro Abe - 1997 - Mathematical Logic Quarterly 43 (4):541-549.
    We study the distributivity of the bounded ideal on Pkλ and answer negatively to a question of Johnson in [13]. The size of non-normal ideals with the partition property is also studied.
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  13.  18
    Individual Members 2012.Arnfinn Aamodt, Martın Abadi, Areski Nait Abdallah, Yoshihiro Abe, Andreas Abel, Francine F. Abeles, Andrew Aberdein, Kuanysh Abeshev, Nate Ackerman & Juan Pablo Acosta López - 2012 - Bulletin of Symbolic Logic 18 (4).
  14.  12
    Weakly Normal Filters and the Closed Unbounded Filter on P Κ Λ Weakly Normal Filters and Large CardinalsWeakly Normal Ideals on  Κ Λ and the Singular Cardinal HypothesisSaturation of Fundamental Ideals on  Κ Λ Strongly Normal Ideals on  Κ Λ and the Sup-FunctionCombinatorics for Small Ideals on  Κ Λ Regularity of Ultrafilters and Fixed Points of Elementary Embeddings.Pierre Matet, Yoshihiro Abe & Masahiro Shioya - 2002 - Bulletin of Symbolic Logic 8 (2):309.
  15. Individual Members 2011.Arnfinn Aamodt, Martın Abadi, Yoshihiro Abe, Andreas Abel, Francine F. Abeles, Andrew Aberdein, Kuanysh Abeshev, Nate Ackerman, Martin Adamcik & Winfred P. Adams - 2011 - Bulletin of Symbolic Logic 17 (4).
  16. Individual Members 2004.Martın Abadi, Areski Nait Abdallah, Yoshihiro Abe, Francine F. Abeles, Andrew Aberdein, Vicente Aboites, Nathanael Ackerman, John W. Addison Jr, Klaus T. Aehlig & Fritz Aeschbach - 2004 - Bulletin of Symbolic Logic 10 (4).
  17. Individual Members 2009.Martın Abadi, Yoshihiro Abe, Andreas Abel, Francine F. Abeles, Andrew Aberdein, J. David Abernethy, Nate Ackerman, Bryant Adams, Winifred P. Adams & Klaus T. Aehlig - 2009 - Bulletin of Symbolic Logic 15 (4).
  18.  11
    A Hierarchy of Filters Smaller Than [Mathematical Formula].Yoshihiro Abe - 1997 - Archive for Mathematical Logic 6.
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  19.  6
    Combinatorial Characterization of [Mathematical Formula]-Indescribability in [Mathematical Formula].Yoshihiro Abe - 1997 - Archive for Mathematical Logic 4.
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  20. REVIEWS-Seven Papers-PkM.Yoshihiro Abe & Pierre Matet - 2002 - Bulletin of Symbolic Logic 8 (2):309-311.
     
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