Difference between revisions of "Library"

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m (A.)
(Dimopoulos, Stamatis. Woodin for strong compactness cardinals)
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     isbn = {978-0-486-60045-1},
 
     isbn = {978-0-486-60045-1},
 
       url = {http://www.archive.org/details/contributionstot003626mbp},
 
       url = {http://www.archive.org/details/contributionstot003626mbp},
 +
}
 +
 +
#Carmody2015:ForceToChangeLargeCardinalStrength bibtex=@article{Carmody2015:ForceToChangeLargeCardinalStrength,
 +
  author = {Carmody, Erin Kathryn},   
 +
    title = {Force to change large cardinal strength}, 
 +
    year = {2015}, 
 +
  eprint = {1506.03432},
 +
      url = {https://academicworks.cuny.edu/gc_etds/879/}
 
}
 
}
  
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#CodyGitman:EastonTheoremRamsey bibtex=@ARTICLE{CodyGitman:EastonTheoremRamsey,
 
#CodyGitman:EastonTheoremRamsey bibtex=@ARTICLE{CodyGitman:EastonTheoremRamsey,
 +
title = "Easton's theorem for Ramsey and strongly Ramsey cardinals",
 +
journal = "Annals of Pure and Applied Logic",
 +
volume = "166",
 +
number = "9",
 +
pages = "934 - 952",
 +
year = "2015",
 +
issn = "0168-0072",
 +
doi = "10.1016/j.apal.2015.04.006",
 +
url={https://victoriagitman.github.io/files/eastonramsey.pdf},
 
AUTHOR= {Cody, Brent and Gitman, Victoria},
 
AUTHOR= {Cody, Brent and Gitman, Victoria},
TITLE= {Easton's theorem for Ramsey and strongly Ramsey cardinals},
+
}
NOTE= {In preparation}}
+
  
 
#Corazza2000:WholenessAxiomAndLaverSequences bibtex  =@article{CorazzaAPAL,
 
#Corazza2000:WholenessAxiomAndLaverSequences bibtex  =@article{CorazzaAPAL,
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       YEAR = {2017},
 
       YEAR = {2017},
 
     EPRINT = {1707.02613}
 
     EPRINT = {1707.02613}
 +
}
 +
 +
#Dimopoulos2019:WoodinForStrongCompactness bibtex=@article {Dimopoulos2019:WoodinForStrongCompactness,
 +
title={Woodin for strong compactness cardinals},
 +
volume={84},
 +
DOI={10.1017/jsl.2018.67},
 +
number={1},
 +
journal={The Journal of Symbolic Logic},
 +
publisher={Cambridge University Press},
 +
author={Dimopoulos, Stamatis},
 +
year={2019},
 +
pages={301–319},
 +
eprint={1710.05743}
 
}
 
}
  
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       URL = {http://boolesrings.org/victoriagitman/files/2011/08/ramseylikecardinalsii.pdf},
 
       URL = {http://boolesrings.org/victoriagitman/files/2011/08/ramseylikecardinalsii.pdf},
 
}
 
}
 
+
GitmanJohnstone:IndestructiblyRamsey
 
#GitmanJohnstone:IndestructiblyRamsey bibtex=@ARTICLE{GitmanJohnstone:IndestructiblyRamsey,
 
#GitmanJohnstone:IndestructiblyRamsey bibtex=@ARTICLE{GitmanJohnstone:IndestructiblyRamsey,
 
AUTHOR= {Gitman, Victoria and Johnstone, Thomas A.},
 
AUTHOR= {Gitman, Victoria and Johnstone, Thomas A.},

Revision as of 09:52, 8 May 2019

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. 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
  3. 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
  4. 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
  5. Bagaria, Joan. Large Cardinals beyond Choice. , 2017. www   bibtex
  6. 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
  7. Blass, Andreas. Chapter 6: Cardinal characteristics of the continuum. Handbook of Set Theory , 2010. www   bibtex
  8. Blass, Andreas. Exact functors and measurable cardinals.. Pacific J Math 63(2):335--346, 1976. www   bibtex
  9. Boney, Will. Model Theoretic Characterizations of Large Cardinals. arχiv   bibtex
  10. Cantor, Georg. Contributions to the Founding of the Theory of Transfinite Numbers. Dover, New York, 1955. (Original year was 1915) www   bibtex
  11. Carmody, Erin Kathryn. Force to change large cardinal strength. , 2015. www   arχiv   bibtex
  12. Carmody, Erin and Gitman, Victoria and Habič, Miha E. A Mitchell-like order for Ramsey and Ramsey-like cardinals. , 2016. arχiv   bibtex
  13. 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
  14. 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
  15. Corazza, Paul. The Wholeness Axiom and Laver sequences. Annals of Pure and Applied Logic pp. 157--260, October, 2000. bibtex
  16. Corazza, Paul. The gap between ${\rm I}_3$ and the wholeness axiom. Fund Math 179(1):43--60, 2003. www   DOI   MR   bibtex
  17. Corazza, Paul. The Axiom of Infinity and transformations $j: V \to V$. Bulletin of Symbolic Logic 16(1):37--84, 2010. www   DOI   bibtex
  18. Dimonte, Vincenzo. I0 and rank-into-rank axioms. , 2017. arχiv   bibtex
  19. Dimopoulos, Stamatis. Woodin for strong compactness cardinals. The Journal of Symbolic Logic 84(1):301–319, 2019. arχiv   DOI   bibtex
  20. Dodd, Anthony and Jensen, Ronald. The core model. Ann Math Logic 20(1):43--75, 1981. www   DOI   MR   bibtex
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  22. Donder, Hans-Dieter and Levinski, Jean-Pierre. Some principles related to Chang's conjecture. Annals of Pure and Applied Logic , 1989. www   DOI   bibtex
  23. Drake, Frank. Set Theory: An Introduction to Large Cardinals. North-Holland Pub. Co., 1974. bibtex
  24. 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
  25. Erdős, Paul and Hajnal, Andras. On the structure of set-mappings. Acta Math Acad Sci Hungar 9:111--131, 1958. MR   bibtex
  26. Eskrew, Monroe and Hayut, Yair. On the consistency of local and global versions of Chang's Conjecture. , 2016. arχiv   bibtex
  27. Esser, Olivier. Inconsistency of GPK+AFA. Mathematical Logic Quarterly 42:104--108, 1996. www   DOI   bibtex
  28. 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
  29. Esser, Olivier. On the Consistency of a Positive Theory. Mathematical Logic Quarterly 45:105--116, 1999. www   DOI   bibtex
  30. 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
  31. Esser, Olivier. On the axiom of extensionality in the positive set theory. Mathematical Logic Quarterly 19:97--100, 2003. www   DOI   bibtex
  32. Evans, C D A and Hamkins, Joel David. Transfinite game values in infinite chess. (under review) www   arχiv   bibtex
  33. Feng, Qi. A hierarchy of Ramsey cardinals. Annals of Pure and Applied Logic 49(3):257 - 277, 1990. DOI   bibtex
  34. 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
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  36. Friedman, Harvey M. Subtle cardinals and linear orderings. , 1998. www   bibtex
  37. 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
  38. 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
  39. Gitman, Victoria. Ramsey-like cardinals. The Journal of Symbolic Logic 76(2):519-540, 2011. www   arχiv   MR   bibtex
  40. Gitman, Victoria and Welch, Philip. Ramsey-like cardinals II. J Symbolic Logic 76(2):541--560, 2011. www   arχiv   MR   bibtex
  41. Gitman, Victoria and Johnstone, Thomas A. Indestructibility for Ramsey and Ramsey-like cardinals. (In preparation) www   bibtex
  42. Gitman, Victoria and Shindler, Ralf. Virtual large cardinals. www   bibtex
  43. Goldblatt, Robert. Lectures on the Hyperreals. Springer, 1998. bibtex
  44. Goldstern, Martin and Shelah, Saharon. The Bounded Proper Forcing Axiom. J Symbolic Logic 60(1):58--73, 1995. www   bibtex
  45. Hamkins, Joel David and Lewis, Andy. Infinite time Turing machines. J Symbolic Logic 65(2):567--604, 2000. www   arχiv   DOI   MR   bibtex
  46. Hamkins, Joel David. The wholeness axioms and V=HOD. Arch Math Logic 40(1):1--8, 2001. www   arχiv   DOI   MR   bibtex
  47. Hamkins, Joel David. Infinite time Turing machines. Minds and Machines 12(4):521--539, 2002. (special issue devoted to hypercomputation) www   arχiv   bibtex
  48. 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
  49. Hamkins, Joel David. Unfoldable cardinals and the GCH. , 2008. arχiv   bibtex
  50. Hamkins, Joel David. Tall cardinals. MLQ Math Log Q 55(1):68--86, 2009. www   DOI   MR   bibtex
  51. Hamkins, Joel David and Johnstone, Thomas A. Indestructible strong un-foldability. Notre Dame J Form Log 51(3):291--321, 2010. bibtex
  52. Hamkins, Joel David and Johnstone, Thomas A. Resurrection axioms and uplifting cardinals. , 2014. www   arχiv   bibtex
  53. Hamkins, Joel David and Johnstone, Thomas A. Strongly uplifting cardinals and the boldface resurrection axioms. , 2014. arχiv   bibtex
  54. Hauser, Kai. Indescribable Cardinals and Elementary Embeddings. 56(2):439 - 457, 1991. www   DOI   bibtex
  55. Holy, Peter and Schlicht, Philipp. A hierarchy of Ramsey-like cardinals. Fundamenta Mathematicae 242:49-74, 2018. www   arχiv   DOI   bibtex
  56. Jackson, Steve; Ketchersid, Richard; Schlutzenberg, Farmer; Woodin, W Hugh. Determinacy and Jónsson cardinals in $L(\mathbb{R})$. , 2015. arχiv   DOI   bibtex
  57. Jech, Thomas J. Set Theory. Third, Springer-Verlag, Berlin, 2003. (The third millennium edition, revised and expanded) www   bibtex
  58. Jensen, Ronald and Kunen, Kenneth. Some combinatorial properties of $L$ and $V$. Unpublished, 1969. www   bibtex
  59. 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
  60. 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
  61. Kanamori, Akihiro and Awerbuch-Friedlander, Tamara. The compleat 0†. Mathematical Logic Quarterly 36(2):133-141, 1990. DOI   bibtex
  62. 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
  63. Kentaro, Sato. Double helix in large large cardinals and iteration ofelementary embeddings. , 2007. www   bibtex
  64. Kunen, Kenneth. Saturated Ideals. J Symbolic Logic 43(1):65--76, 1978. www   bibtex
  65. Koellner, Peter and Woodin, W Hugh. Chapter 23: Large cardinals from Determinacy. Handbook of Set Theory , 2010. www   bibtex
  66. Larson, Paul B. A brief history of determinacy. , 2013. www   bibtex
  67. Laver, Richard. Implications between strong large cardinal axioms. Ann Math Logic 90(1--3):79--90, 1997. MR   bibtex
  68. Maddy, Penelope. Believing the axioms. I. J Symbolic Logic 53(2):181--511, 1988. www   DOI   bibtex
  69. Maddy, Penelope. Believing the axioms. II. J Symbolic Logic 53(3):736--764, 1988. www   DOI   bibtex
  70. Madore, David. A zoo of ordinals. , 2017. www   bibtex
  71. Makowsky, Johann. Vopěnka's Principle and Compact Logics. J Symbol Logic www   bibtex
  72. Mitchell, William J. Jónsson Cardinals, Erdős Cardinals, and the Core Model. J Symbol Logic , 1997. arχiv   bibtex
  73. Mitchell, William J. The Covering Lemma. Handbook of Set Theory , 2001. www   bibtex
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  78. Schanker, Jason A. Partial near supercompactness. Ann Pure Appl Logic , 2012. (In Press.) www   DOI   bibtex
  79. Schanker, Jason A. Weakly measurable cardinals. MLQ Math Log Q 57(3):266--280, 2011. www   DOI   bibtex
  80. Schanker, Jason A. Weakly measurable cardinals and partial near supercompactness. Ph.D. Thesis, CUNY Graduate Center, 2011. bibtex
  81. Schindler, Ralf-Dieter. Proper forcing and remarkable cardinals. Bull Symbolic Logic 6(2):176--184, 2000. www   DOI   MR   bibtex
  82. Sharpe, Ian and Welch, Philip. Greatly Erdős cardinals with some generalizations to the Chang and Ramsey properties. Ann Pure Appl Logic 162(11):863--902, 2011. www   DOI   MR   bibtex
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  94. Welch, Philip. Some remarks on the maximality of Inner Models. Logic Colloquium , 1998. www   bibtex
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  96. Woodin, W Hugh. Suitable extender models I. Journal of Mathematical Logic 10(01n02):101-339, 2010. www   DOI   bibtex
  97. Woodin, W Hugh. Suitable extender models II: beyond $\omega$-huge. Journal of Mathematical Logic 11(02):115-436, 2011. www   DOI   bibtex
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User instructions

Cantor's attic users may make contributions to the library, in bibtex format, and then cite those references in other articles. Edit this page to make your contribution.