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Thomas Jech [37]Thomas J. Jech [14]
  1. [Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
    Reviewed Works:John R. Steel, A. S. Kechris, D. A. Martin, Y. N. Moschovakis, Scales on $\Sigma^1_1$ Sets.Yiannis N. Moschovakis, Scales on Coinductive Sets.Donald A. Martin, John R. Steel, The Extent of Scales in $L$.John R. Steel, Scales in $L$.
     
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  2.  24
    Set Theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
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  3. On Σ1 Well-Orderings of the Universe.Leo Harrington & Thomas Jech - 1976 - Journal of Symbolic Logic 41 (1):167-170.
  4. Lectures in Set Theory.Thomas J. Jech - 1971 - New York: Springer Verlag.
     
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  5.  16
    More Game-Theoretic Properties of Boolean Algebras.Thomas J. Jech - 1984 - Annals of Pure and Applied Logic 26 (1):11-29.
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  6.  39
    Trees.Thomas J. Jech - 1971 - Journal of Symbolic Logic 36 (1):1-14.
  7. Full Reflection of Stationary Sets Below ℵω.Thomas Jech & Saharon Shelah - 1990 - Journal of Symbolic Logic 55 (2):822 - 830.
    It is consistent that, for every n ≥ 2, every stationary subset of ω n consisting of ordinals of cofinality ω k, where k = 0 or k ≤ n - 3, reflects fully in the set of ordinals of cofinality ω n - 1. We also show that this result is best possible.
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  8.  22
    F. R. Drake. On Weak Cardinal Powers in Generic Extensions. Fundamenta Mathematicae, Vol. 66 No. 2 , Pp. 219–222.Thomas J. Jech - 1973 - Journal of Symbolic Logic 38 (4):652.
  9.  40
    Weak Distributivity, a Problem of Von Neumann and the Mystery of Measurability.Bohuslav Balcar & Thomas Jech - 2006 - Bulletin of Symbolic Logic 12 (2):241-266.
    This article investigates the weak distributivity of Boolean σ-algebras satisfying the countable chain condition. It addresses primarily the question when such algebras carry a σ-additive measure. We use as a starting point the problem of John von Neumann stated in 1937 in the Scottish Book. He asked if the countable chain condition and weak distributivity are sufficient for the existence of such a measure.Subsequent research has shown that the problem has two aspects: one set theoretic and one combinatorial. Recent results (...)
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  10.  19
    James E. Baumgartner, Alan Taylor, and Stanley Wagon. Ideals on Uncountable Cardinals. Logic Colloquium '77, Proceedings of the Colloquium Held in WrocŁaw, August 1977, Edited by Angus Macintyre, Leszek Pacholski, and Jeff Paris, Studies in Logic and the Foundations of Mathematics, Vol. 96, North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1978, Pp. 67–77. - J. E. Baumgartner, A. D. Taylor, and S. Wagon. Structural Properties of Ideals. Dissertationes Mathematicae , No. 197, Polska Akademia Nauk, Instytut Matematyczny, Warsaw 1982, 95 Pp. - James E. Baumgartner and Alan D. Taylor. Saturation Properties of Ideals in Generic Extensions. Transactions of the American Mathematical Society, Vol. 270 , Pp. 557–574, and Vol. 271 , Pp. 587–609. [REVIEW]Thomas Jech - 2001 - Bulletin of Symbolic Logic 7 (1):79-79.
  11.  15
    The Iterative Conception of Set.George Boolos, Dana Scott, Thomas J. Jech, W. N. Reinhardt & Hao Wang - 1985 - Journal of Symbolic Logic 50 (2):544-547.
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  12.  60
    Singular Cardinals and the Pcf Theory.Thomas Jech - 1995 - Bulletin of Symbolic Logic 1 (4):408-424.
  13.  10
    About the Axiom of Choice.Thomas J. Jech - 1977 - In Jon Barwise & H. Jerome Keisler (eds.), Handbook of Mathematical Logic. North-Holland Pub. Co.. pp. 90--345.
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  14.  13
    H. G. Dales and W. H. Woodin. An Introduction to Independence for Analysts. London Mathematical Society Lecture Note Series, Vol. 115. Cambridge University Press, Cambridge Etc. 1987, Xiii + 241 Pp. [REVIEW]Thomas Jech - 1990 - Journal of Symbolic Logic 55 (1):361-362.
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  15.  12
    John R. Steel. Scales on Sets. Cabal Seminar 79–81, Proceedings, Caltech-UCLA Logic Seminar 1979–81, Edited by A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, Lecture Notes in Mathematics, Vol. 1019, Springer-Verlag, Berlin Etc. Pp. 72–76. - Yiannis N. Moschovakis. Scales on Coinductive Sets. Cabal Seminar 79–81, Proceedings, Caltech-UCLA Logic Seminar 1979–81, Edited by A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, Lecture Notes in Mathematics, Vol. 1019, Springer-Verlag, Berlin Etc., Pp. 77–85. - Donald A. Martin and John R. Steel. The Extent of Scales in L. Cabal Seminar 79–81, Proceedings, Caltech-UCLA Logic Seminar 1979–81, Edited by A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, Lecture Notes in Mathematics, Vol. 1019, Springer-Verlag, Berlin Etc., Pp. 86–96. - John R. Steel. Scales in L. Cabal Seminar 79–81, Proceedings, Caltech-UCLA Logic Seminar 1979–81, Edited by A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, Lecture Notes in Mathematics, Vol. 1019, Spring. [REVIEW]Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
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  16.  59
    Some Results on Combinators in the System TRC.Thomas Jech - 1999 - Journal of Symbolic Logic 64 (4):1811-1819.
    We investigate the system TRC of untyped illative combinatory logic that is equiconsistent with New Foundations. We prove that various unstratified combinators do not exist in TRC.
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  17. X2. The Arithmetic of Cardinal Numbers. Cardinal Numbers Were Intro.Thomas Jech - 1995 - Bulletin of Symbolic Logic 1 (4).
  18.  32
    Full Reflection at a Measurable Cardinal.Thomas Jech & Jiří Witzany - 1994 - Journal of Symbolic Logic 59 (2):615-630.
    A stationary subset S of a regular uncountable cardinal κ reflects fully at regular cardinals if for every stationary set $T \subseteq \kappa$ of higher order consisting of regular cardinals there exists an α ∈ T such that S ∩ α is a stationary subset of α. Full Reflection states that every stationary set reflects fully at regular cardinals. We will prove that under a slightly weaker assumption than κ having the Mitchell order κ++ it is consistent that Full Reflection (...)
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  19.  38
    Possible PCF Algebras.Thomas Jech & Saharon Shelah - 1996 - Journal of Symbolic Logic 61 (1):313-317.
    There exists a family $\{B_\alpha\}_{\alpha of sets of countable ordinals such that: (1) max B α = α, (2) if α ∈ B β then $B_\alpha \subseteq B_\beta$ , (3) if λ ≤ α and λ is a limit ordinal then B α ∩ λ is not in the ideal generated by the $B_\beta, \beta , and by the bounded subsets of λ, (4) there is a partition {A n } ∞ n = 0 of ω 1 such that for (...)
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  20.  13
    Some Examples of Precipitous Ideals.Thomas J. Jech & William J. Mitchell - 1983 - Annals of Pure and Applied Logic 24 (2):131-151.
  21.  31
    On Countably Closed Complete Boolean Algebras.Thomas Jech & Saharon Shelah - 1996 - Journal of Symbolic Logic 61 (4):1380-1386.
    It is unprovable that every complete subalgebra of a countably closed complete Boolean algebra is countably closed.
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  22.  16
    On Ideals of Sets and the Power Set Operation.Thomas Jech, Karel Prikry, F. Galvin, T. Jech & M. Magidor - 1985 - Journal of Symbolic Logic 50 (1):239-240.
  23.  11
    Semi-Cohen Boolean Algebras.Bohuslav Balcar, Thomas Jech & Jindřich Zapletal - 1997 - Annals of Pure and Applied Logic 87 (3):187-208.
    We investigate classes of Boolean algebras related to the notion of forcing that adds Cohen reals. A Cohen algebra is a Boolean algebra that is dense in the completion of a free Boolean algebra. We introduce and study generalizations of Cohen algebras: semi-Cohen algebras, pseudo-Cohen algebras and potentially Cohen algebras. These classes of Boolean algebras are closed under completion.
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  24.  27
    On Hereditarily Countable Sets.Thomas Jech - 1982 - Journal of Symbolic Logic 47 (1):43-47.
    It is shown (in ZF) that every hereditarily countable set has rank less than ω 2 , and that if ℵ 1 is singular then there are hereditarily countable sets of all ranks less than ω 2.
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  25.  17
    Logic Colloquium '77, Proceedings of the Colloquium Held in WrocŁaw, August 1977.Thomas Jech - 2001 - Bulletin of Symbolic Logic 7 (1):79.
  26.  23
    Vassar College, 124 Raymond Avenue, Poughkeepsie, Ny 12604, Usa. In a Review, a Reference “Jsl Xliii 148,” for Example, Refers Either to the Publication Reviewed on Page 148 of Volume 43 of the Journal, or to the Review Itself (Which Contains Full Bibliographical Information for the Reviewed Publication). Analogously, a Reference “Bsl VII 376” Refers to the Review Beginning on Page 376 in Volume 7 of This Bulletin, Or. [REVIEW]David M. Evans, Erich Grädel, Geoffrey P. Hellman, Denis Hirschfeldt, Thomas J. Jech, Julia Knight, Michael C. Laskowski, Volker Peckhaus, Wolfram Pohlers & Sławomir Solecki - 2005 - Bulletin of Symbolic Logic 11 (1):37.
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  27.  18
    Review: James E. Baumgartner, Alan Taylor, Stanley Wagon, Angus Macintyre, Leszek Pacholski, Jeff Paris, Ideals on Uncountable Cardinals; J. E. Baumgartner, A. D. Taylor, S. Wagon, Structural Properties of Ideals; James E. Baumgartner, Alan D. Taylor, Saturation Properties of Ideals in Generic Extensions. [REVIEW]Thomas Jech - 2001 - Bulletin of Symbolic Logic 7 (1):79-79.
  28.  27
    A Hierarchy of Filters on Regular Uncountable Cardinals.Thomas Jech - 1987 - Journal of Symbolic Logic 52 (2):388-395.
    We introduce a well-founded relation κ ) +.
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  29.  20
    Review: J. L. Bell, Boolean-Valued Models and Independence Proofs in Set Theory; Dana Scott, Foreword. [REVIEW]Thomas Jech - 1981 - Journal of Symbolic Logic 46 (1):165-165.
  30.  13
    Thiele Ernst-Jochen. Die Verträglichkeit der Kontinuumhypothese mit dem System der Mengenlehre von Zermelo-Fraenkel. Zeitschrift für mathematische Logik und Grundlagen der Mathematik, vol. 7 , pp. 225–255. , pp. 347–349.). [REVIEW]Thomas J. Jech - 1971 - Journal of Symbolic Logic 36 (3):542-542.
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  31.  11
    Moti Gitik. Regular Cardinals in Models of ZF. Transactions of the American Mathematical Society, Vol. 290 , Pp. 41–68.Thomas Jech - 1994 - Journal of Symbolic Logic 59 (2):668-668.
  32.  10
    Bell J. L.. Boolean-Valued Models and Independence Proofs in Set Theory. Oxford Logic Guides. Clarendon Press, Oxford 1977, Xviii + 126 Pp. [REVIEW]Thomas Jech - 1981 - Journal of Symbolic Logic 46 (1):165-165.
  33.  19
    Positive ∑ Operations on Ordinals and Normal Filters on Greatly Mahlo Cardinals.Thomas Jech - 1989 - Journal of Symbolic Logic 54 (1):226-233.
    If F is a normal filter on a regular uncountable cardinal κ, let |f| be the F-norm of an ordinal function f. We introduce the class of positive ordinal operations and prove that if F is a positive operation then |F(f)| ≥ F(|f|). For each $\eta let f η be the canonical ηth function. We show that if F is a Σ operation then F(f η ) = f F(η) . As an application we show that if κ is greatly (...)
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  34.  12
    Full Reflection of Stationary Sets Below $Aleph_omega$.Thomas Jech & Saharon Shelah - 1990 - Journal of Symbolic Logic 55 (2):822-830.
    It is consistent that, for every $n \geq 2$, every stationary subset of $\omega_n$ consisting of ordinals of cofinality $\omega_k$, where $k = 0$ or $k \leq n - 3$, reflects fully in the set of ordinals of cofinality $\omega_{n - 1}$. We also show that this result is best possible.
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  35.  10
    On the Number of Generators of an Ideal.Thomas Jech - 1981 - Notre Dame Journal of Formal Logic 22 (2):105-108.
  36.  6
    Review: F. R. Drake, On Weak Cardinal Powers in Generic Extensions. [REVIEW]Thomas J. Jech - 1973 - Journal of Symbolic Logic 38 (4):652-652.
  37.  7
    On $Sigma_1$ Well-Orderings of the Universe.Leo Harrington & Thomas Jech - 1976 - Journal of Symbolic Logic 41 (1):167-170.
  38.  4
    Review: Moti Gitik, Regular Cardinals in Models of $ZF$. [REVIEW]Thomas Jech - 1994 - Journal of Symbolic Logic 59 (2):668-668.
  39. REVIEWS-Papers.J. Baumgartner, A. Taylor, S. Wagon & Thomas Jech - 2001 - Bulletin of Symbolic Logic 7 (1):79.
  40. Basic Set Theory.Thomas Jech - 2002 - Stanford Encyclopedia of Philosophy 2.
     
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  41. Review: H. G. Dales, W. H. Woodin, An Introduction to Independence for Analysts. [REVIEW]Thomas Jech - 1990 - Journal of Symbolic Logic 55 (1):361-362.