Difference between revisions of "Library"

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m (→‎Library holdings: -:P!)
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     VOLUME = {216},
 
     VOLUME = {216},
 
     PAGES = {207--222},
 
     PAGES = {207--222},
 +
}
 +
 +
#ApterGitmanHamkins2012:InnerModelsUsuallyForcing bibtex=@ARTICLE{ApterGitmanHamkins2012:InnerModelsUsuallyForcing,
 +
  title    = "Inner models with large cardinal features usually obtained by forcing",
 +
  author    = "Apter, Arthur W and Gitman, Victoria and Hamkins, Joel David",
 +
  journal  = "Arch. Math. Logic",
 +
  publisher = "Springer Science and Business Media LLC",
 +
  volume    = "51",
 +
  number    = "3-4",
 +
  pages    = "257--283",
 +
  month    = "may",
 +
  year      = "2012",
 +
  language  = "en",
 +
  eprint    = "1111.0856"
 
}
 
}
  
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       URL = {http://www.jstor.org/stable/2274520}
 
       URL = {http://www.jstor.org/stable/2274520}
 
}
 
}
 +
 
#Maddy88:BelAxiomsII bibtex=@article{Maddy88:BelAxiomsII,
 
#Maddy88:BelAxiomsII bibtex=@article{Maddy88:BelAxiomsII,
 
     AUTHOR = {Maddy, Penelope},
 
     AUTHOR = {Maddy, Penelope},
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       URL = {http://www.jstor.org/stable/2274569}
 
       URL = {http://www.jstor.org/stable/2274569}
 
}
 
}
 +
 
#Madore2017:OrdinalZoo bibtex=@article{Madore2017:OrdinalZoo,
 
#Madore2017:OrdinalZoo bibtex=@article{Madore2017:OrdinalZoo,
 
     AUTHOR = {Madore, David},
 
     AUTHOR = {Madore, David},
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number = {2},
 
number = {2},
 
pages = {175-189},
 
pages = {175-189},
−
title = {Stable sets, a characterization of $β_2$-models of full second order arithmetic and some related facts},
+
title = {Stable sets, a characterization of $\beta_2$-models of full second order arithmetic and some related facts},
 
url = {http://eudml.org/doc/214661},
 
url = {http://eudml.org/doc/214661},
 
volume = {82},
 
volume = {82},
 
year = {1974},
 
year = {1974},
 +
}
 +
 +
#Martin2001:CharacterizationsSharp bibtex=@paper{Martin2001:CharacterizationsSharp,
 +
author = {Martin, D.},
 +
language = {eng},
 +
title = {Characterizations of $0^\sharp$},
 +
url = {https://web.archive.org/web/20060505193310/http://www.cs.cornell.edu/~djm/math/zerosharp.ps},
 +
year = {2001},
 
}
 
}
  

Latest revision as of 19:04, 29 July 2022

Step up the ladder towards wisdom, photo by Sigfrid Lundberg

Welcome to the library, our central repository for references cited here on Cantor's attic.

Library holdings

  1. Abramson, Fred and Harrington, Leo and Kleinberg, Eugene and Zwicker, William. Flipping properties: a unifying thread in the theory of large cardinals. Ann Math Logic 12(1):25--58, 1977. MR   bibtex
  2. Apter, Arthur W. Some applications of Sargsyan’s equiconsistency method. Fund Math 216:207--222. bibtex
  3. Apter, Arthur W and Gitman, Victoria and Hamkins, Joel David. Inner models with large cardinal features usually obtained by forcing. Arch Math Logic 51(3-4):257--283, may, 2012. arχiv   bibtex
  4. Arai, Toshiyasu. A sneak preview of proof theory of ordinals. , 1997. www   bibtex
  5. Arai, Toshiyasu. A simplified ordinal analysis of first-order reflection. , 2019. www   bibtex
  6. Baaz, M and Papadimitriou, CH and Putnam, HW and Scott, DS and Harper, CL. Kurt Gödel and the Foundations of Mathematics: Horizons of Truth. Cambridge University Press, 2011. www   bibtex
  7. Bagaria, Joan. Axioms of generic absoluteness. Logic Colloquium 2002 , 2006. www   DOI   bibtex
  8. Bagaria, Joan and Bosch, Roger. Proper forcing extensions and Solovay models. Archive for Mathematical Logic , 2004. www   DOI   bibtex
  9. Bagaria, Joan and Bosch, Roger. Generic absoluteness under projective forcing. Fundamenta Mathematicae 194:95-120, 2007. DOI   bibtex
  10. Bagaria, Joan. $C^{(n)}$-cardinals. Archive for Mathematical Logic 51(3--4):213--240, 2012. www   arχiv   DOI   bibtex
  11. Bagaria, Joan and Casacuberta, Carles and Mathias, A R D and Rosický, Jiří. Definable orthogonality classes in accessible categories are small. Journal of the European Mathematical Society 17(3):549--589. arχiv   bibtex
  12. Bagaria, Joan and Hamkins, Joel David and Tsaprounis, Konstantinos and Usuba, Toshimichi. Superstrong and other large cardinals are never Laver indestructible. Archive for Mathematical Logic 55(1-2):19--35, 2013. www   arχiv   DOI   bibtex
  13. Bagaria, Joan. Large Cardinals beyond Choice. , 2017. www   bibtex
  14. Bagaria, Joan and Gitman, Victoria and Schindler, Ralf. Generic {V}opěnka's {P}rinciple, remarkable cardinals, and the weak {P}roper {F}orcing {A}xiom. Arch Math Logic 56(1-2):1--20, 2017. www   DOI   MR   bibtex
  15. Bagaria, Joan and Koellner, Peter and Woodin, W Hugh. Large Cardinals beyond Choice. Bulletin of Symbolic Logic 25(3):283--318, 2019. www   DOI   bibtex
  16. Baumgartner, James. Ineffability properties of cardinals. I. Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Vol. I, pp. 109--130. Colloq. Math. Soc. János Bolyai, Vol. 10, Amsterdam, 1975. MR   bibtex
  17. Blass, Andreas. Chapter 6: Cardinal characteristics of the continuum. Handbook of Set Theory , 2010. www   bibtex
  18. Blass, Andreas. Exact functors and measurable cardinals.. Pacific J Math 63(2):335--346, 1976. www   bibtex
  19. Boney, Will. Model Theoretic Characterizations of Large Cardinals. arχiv   bibtex
  20. Bosch, Roger. Small Definably-large Cardinals. Set Theory Trends in Mathematics pp. 55-82, 2006. DOI   bibtex
  21. Cantor, Georg. Contributions to the Founding of the Theory of Transfinite Numbers. Dover, New York, 1955. (Original year was 1915) www   bibtex
  22. Carmody, Erin Kathryn. Force to change large cardinal strength. , 2015. www   arχiv   bibtex
  23. Carmody, Erin and Gitman, Victoria and Habič, Miha E. A Mitchell-like order for Ramsey and Ramsey-like cardinals. , 2016. arχiv   bibtex
  24. Cody, Brent, Gitik, Moti, Hamkins, Joel David, and Schanker, Jason. The Least Weakly Compact Cardinal Can Be Unfoldable, Weakly Measurable and Nearly θ-Supercompact. , 2013. arχiv   bibtex
  25. Cody, Brent and Gitman, Victoria. Easton's theorem for Ramsey and strongly Ramsey cardinals. Annals of Pure and Applied Logic 166(9):934 - 952, 2015. www   DOI   bibtex
  26. Corazza, Paul. The Wholeness Axiom and Laver sequences. Annals of Pure and Applied Logic pp. 157--260, October, 2000. bibtex
  27. Corazza, Paul. The gap between $\mathrm{I}_3$ and the wholeness axiom. Fund Math 179(1):43--60, 2003. www   DOI   MR   bibtex
  28. Corazza, Paul. The spectrum of elementary embeddings $j : V \to V$. Annals of Pure and Applied Logic 139(1--3):327-399, May, 2006. DOI   bibtex
  29. Corazza, Paul. The Axiom of Infinity and transformations $j: V \to V$. Bulletin of Symbolic Logic 16(1):37--84, 2010. www   DOI   bibtex
  30. Daghighi, Ali Sadegh and Pourmahdian, Massoud. On Some Properties of Shelah Cardinals. Bull Iran Math Soc 44(5):1117-1124, October, 2018. www   DOI   bibtex
  31. Dimonte, Vincenzo. I0 and rank-into-rank axioms. , 2017. arχiv   bibtex
  32. Dimopoulos, Stamatis. Woodin for strong compactness cardinals. The Journal of Symbolic Logic 84(1):301–319, 2019. arχiv   DOI   bibtex
  33. Dodd, Anthony and Jensen, Ronald. The core model. Ann Math Logic 20(1):43--75, 1981. www   DOI   MR   bibtex
  34. Donder, Hans-Dieter and Koepke, Peter. On the Consistency Strength of 'Accessible' Jónsson Cardinals and of the Weak Chang Conjecture. Annals of Pure and Applied Logic , 1998. www   DOI   bibtex
  35. Donder, Hans-Dieter and Levinski, Jean-Pierre. Some principles related to Chang's conjecture. Annals of Pure and Applied Logic 45:39-101, 1989. www   DOI   bibtex
  36. Drake, Frank. Set Theory: An Introduction to Large Cardinals. North-Holland Pub. Co., 1974. bibtex
  37. Enayat, Ali. Models of set theory with definable ordinals. Archive for Mathematical Logic 44:363–385, April, 2005. www   DOI   bibtex
  38. Erdős, Paul and Hajnal, Andras. Some remarks concerning our paper ``On the structure of set-mappings''. Non-existence of a two-valued $\sigma $-measure for the first uncountable inaccessible cardinal. Acta Math Acad Sci Hungar 13:223--226, 1962. MR   bibtex
  39. Erdős, Paul and Hajnal, Andras. On the structure of set-mappings. Acta Math Acad Sci Hungar 9:111--131, 1958. MR   bibtex
  40. Eskrew, Monroe and Hayut, Yair. On the consistency of local and global versions of Chang's Conjecture. , 2016. arχiv   bibtex
  41. Esser, Olivier. Inconsistency of GPK+AFA. Mathematical Logic Quarterly 42:104--108, 1996. www   DOI   bibtex
  42. Esser, Olivier. An Interpretation of the Zermelo-Fraenkel Set Theory and the Kelley-Morse Set Theory in a Positive Theory. Mathematical Logic Quarterly 43:369--377, 1997. www   DOI   bibtex
  43. Esser, Olivier. On the Consistency of a Positive Theory. Mathematical Logic Quarterly 45:105--116, 1999. www   DOI   bibtex
  44. Esser, Olivier. Inconsistency of the Axiom of Choice with the Positive Theory $GPK^+_\infty$. Journal of Symbolic Logic 65(4):1911--1916, Dec., 2000. www   DOI   bibtex
  45. Esser, Olivier. On the axiom of extensionality in the positive set theory. Mathematical Logic Quarterly 19:97--100, 2003. www   DOI   bibtex
  46. Evans, C D A and Hamkins, Joel David. Transfinite game values in infinite chess. (under review) www   arχiv   bibtex
  47. Feng, Qi. A hierarchy of Ramsey cardinals. Annals of Pure and Applied Logic 49(3):257 - 277, 1990. DOI   bibtex
  48. Foreman, Matthew and Kanamori, Akihiro. Handbook of Set Theory. First, Springer, 2010. (This book is actually a compendium of articles from multiple authors) www   bibtex
  49. Forti, M and Hinnion, R. The Consistency Problem for Positive Comprehension Principles. J Symbolic Logic 54(4):1401--1418, 1989. bibtex
  50. Friedman, Harvey M. Subtle cardinals and linear orderings. , 1998. www   bibtex
  51. Fuchs, Gunter and Hamkins, Joel David and Reitz, Jonas. Set-theoretic geology. Annals of Pure and Applied Logic 166(4):464 - 501, 2015. www   arχiv   DOI   bibtex
  52. Gaifman, Haim. Elementary embeddings of models of set-theory and certain subtheories. Axiomatic set theory (Proc. Sympos. Pure Math., Vol. XIII, Part II, Univ. California, Los Angeles, Calif., 1967), pp. 33--101, Providence R.I., 1974. MR   bibtex
  53. Gitman, Victoria. Ramsey-like cardinals. The Journal of Symbolic Logic 76(2):519-540, 2011. www   arχiv   MR   bibtex
  54. Gitman, Victoria and Welch, Philip. Ramsey-like cardinals II. J Symbolic Logic 76(2):541--560, 2011. www   arχiv   MR   bibtex
  55. Gitman, Victoria and Hamkins, Joel David. A model of the generic Vopěnka principle in which the ordinals are not Mahlo. , 2018. arχiv   bibtex
  56. Gitman, Victoria and Johnstone, Thomas A. Indestructibility for Ramsey and Ramsey-like cardinals. (In preparation) www   bibtex
  57. Gitman, Victoria and Shindler, Ralf. Virtual large cardinals. www   bibtex
  58. Goldblatt, Robert. Lectures on the Hyperreals. Springer, 1998. bibtex
  59. Goldstern, Martin and Shelah, Saharon. The Bounded Proper Forcing Axiom. J Symbolic Logic 60(1):58--73, 1995. www   bibtex
  60. Golshani, Mohammad. An Easton like theorem in the presence of Shelah cardinals. M Arch Math Logic 56(3-4):273-287, May, 2017. www   DOI   bibtex
  61. Hamkins, Joel David and Lewis, Andy. Infinite time Turing machines. J Symbolic Logic 65(2):567--604, 2000. www   arχiv   DOI   MR   bibtex
  62. Hamkins, Joel David. The wholeness axioms and V=HOD. Arch Math Logic 40(1):1--8, 2001. www   arχiv   DOI   MR   bibtex
  63. Hamkins, Joel David. Infinite time Turing machines. Minds and Machines 12(4):521--539, 2002. (special issue devoted to hypercomputation) www   arχiv   bibtex
  64. Hamkins, Joel David. Supertask computation. Classical and new paradigms of computation and their complexity hierarchies23:141--158, Dordrecht, 2004. (Papers of the conference ``Foundations of the Formal Sciences III'' held in Vienna, September 21-24, 2001) www   arχiv   DOI   MR   bibtex
  65. Hamkins, Joel David. Unfoldable cardinals and the GCH. , 2008. arχiv   bibtex
  66. Hamkins, Joel David. Tall cardinals. MLQ Math Log Q 55(1):68--86, 2009. www   DOI   MR   bibtex
  67. Hamkins, Joel David and Johnstone, Thomas A. Indestructible strong un-foldability. Notre Dame J Form Log 51(3):291--321, 2010. bibtex
  68. Hamkins, Joel David; Linetsky, David; Reitz, Jonas. Pointwise Definable Models of Set Theory. , 2012. arχiv   bibtex
  69. Hamkins, Joel David and Johnstone, Thomas A. Resurrection axioms and uplifting cardinals. , 2014. www   arχiv   bibtex
  70. Hamkins, Joel David and Johnstone, Thomas A. Strongly uplifting cardinals and the boldface resurrection axioms. , 2014. arχiv   bibtex
  71. Hamkins, Joel David. The Vopěnka principle is inequivalent to but conservative over the Vopěnka scheme. , 2016. www   arχiv   bibtex
  72. Hauser, Kai. Indescribable Cardinals and Elementary Embeddings. 56(2):439 - 457, 1991. www   DOI   bibtex
  73. Holy, Peter and Schlicht, Philipp. A hierarchy of Ramsey-like cardinals. Fundamenta Mathematicae 242:49-74, 2018. www   arχiv   DOI   bibtex
  74. Jackson, Steve; Ketchersid, Richard; Schlutzenberg, Farmer; Woodin, W Hugh. Determinacy and Jónsson cardinals in $L(\mathbb{R})$. , 2015. arχiv   DOI   bibtex
  75. Jech, Thomas J. Set Theory. Third, Springer-Verlag, Berlin, 2003. (The third millennium edition, revised and expanded) www   bibtex
  76. Jensen, Ronald and Kunen, Kenneth. Some combinatorial properties of $L$ and $V$. Unpublished, 1969. www   bibtex
  77. Kanamori, Akihiro and Magidor, Menachem. The evolution of large cardinal axioms in set theory. Higher set theory (Proc. Conf., Math. Forschungsinst., Oberwolfach, 1977)669:99--275, Berlin, 1978. www   MR   bibtex
  78. Kanamori, Akihiro and Reinhardt, William N and Solovay, Robert M. Strong axioms of infinity and elementary embeddings. , 1978. (In ''Annals of Mathematical Logic'', '''13'''(1978)) www   bibtex
  79. Kanamori, Akihiro and Awerbuch-Friedlander, Tamara. The compleat 0†. Mathematical Logic Quarterly 36(2):133-141, 1990. DOI   bibtex
  80. Kanamori, Akihiro. The higher infinite. Second, Springer-Verlag, Berlin, 2009. (Large cardinals in set theory from their beginnings, Paperback reprint of the 2003 edition) www   bibtex
  81. Kentaro, Sato. Double helix in large large cardinals and iteration of elementary embeddings. Annals of Pure and Applied Logic 146(2-3):199-236, May, 2007. www   DOI   bibtex
  82. Ketonen, Jussi. Some combinatorial principles. Trans Amer Math Soc 188:387-394, 1974. DOI   bibtex
  83. Koellner, Peter and Woodin, W Hugh. Chapter 23: Large cardinals from Determinacy. Handbook of Set Theory , 2010. www   bibtex
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  86. Laver, Richard. Implications between strong large cardinal axioms. Ann Math Logic 90(1--3):79--90, 1997. MR   bibtex
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  91. Makowsky, Johann. Vopěnka's Principle and Compact Logics. J Symbol Logic , 1985. www   bibtex
  92. Marek, W. Stable sets, a characterization of $\beta_2$-models of full second order arithmetic and some related facts. Fundamenta Mathematicae 82(2):175-189, 1974. www   bibtex
  93. Martin, D. Characterizations of $0^\sharp$. , 2001. www   bibtex
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  95. Mitchell, William J. The Covering Lemma. Handbook of Set Theory , 2001. www   bibtex
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