Journal articles on the topic 'Singular Cardinal Hypothesis'
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NEEMAN, ITAY. "ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS." Journal of Mathematical Logic 09, no. 01 (June 2009): 139–57. http://dx.doi.org/10.1142/s021906130900080x.
Full textMatsubara, Yo. "Saturated ideals and the singular cardinal hypothesis." Journal of Symbolic Logic 57, no. 3 (September 1992): 970–74. http://dx.doi.org/10.2307/2275442.
Full textMitchell, W. J. "On the singular cardinal hypothesis." Transactions of the American Mathematical Society 329, no. 2 (February 1, 1992): 507–30. http://dx.doi.org/10.1090/s0002-9947-1992-1073778-4.
Full textViale, Matteo. "Forcing Axioms, Supercompact Cardinals, Singular Cardinal Combinatorics." Bulletin of Symbolic Logic 14, no. 1 (March 2008): 99–113. http://dx.doi.org/10.2178/bsl/1208358846.
Full textKrueger, John. "Guessing models imply the singular cardinal hypothesis." Proceedings of the American Mathematical Society 147, no. 12 (August 7, 2019): 5427–34. http://dx.doi.org/10.1090/proc/14739.
Full textFriedman, Sy-David, and Radek Honzik. "A definable failure of the singular cardinal hypothesis." Israel Journal of Mathematics 192, no. 2 (March 28, 2012): 719–62. http://dx.doi.org/10.1007/s11856-012-0044-x.
Full textPoveda, Alejandro. "Contributions to the Theory of Large Cardinals through the Method of Forcing." Bulletin of Symbolic Logic 27, no. 2 (June 2021): 221–22. http://dx.doi.org/10.1017/bsl.2021.22.
Full textMAGIDOR, MENACHEM, and JOUKO VÄÄNÄNEN. "ON LÖWENHEIM–SKOLEM–TARSKI NUMBERS FOR EXTENSIONS OF FIRST ORDER LOGIC." Journal of Mathematical Logic 11, no. 01 (June 2011): 87–113. http://dx.doi.org/10.1142/s0219061311001018.
Full textApter, Arthur W., and Peter Koepke. "The consistency strength of choiceless failures of SCH." Journal of Symbolic Logic 75, no. 3 (September 2010): 1066–80. http://dx.doi.org/10.2178/jsl/1278682215.
Full textViale, Matteo. "The proper forcing axiom and the singular cardinal hypothesis." Journal of Symbolic Logic 71, no. 2 (June 2006): 473–79. http://dx.doi.org/10.2178/jsl/1146620153.
Full textCummings, James, and Matthew Foreman. "Diagonal Prikry extensions." Journal of Symbolic Logic 75, no. 4 (December 2010): 1383–402. http://dx.doi.org/10.2178/jsl/1286198153.
Full textGitik, Moti, and William J. Mitchell. "Indiscernible sequences for extenders, and the singular cardinal hypothesis." Annals of Pure and Applied Logic 82, no. 3 (December 1996): 273–316. http://dx.doi.org/10.1016/s0168-0072(96)00007-3.
Full textAbe, Yoshihiro. "Weakly normal ideals ou PKl and the singular cardinal hypothesis." Fundamenta Mathematicae 143, no. 2 (1993): 97–106. http://dx.doi.org/10.4064/fm-143-2-97-106.
Full textGitik, Moti. "The strenght of the failure of the singular cardinal hypothesis." Annals of Pure and Applied Logic 51, no. 3 (March 1991): 215–40. http://dx.doi.org/10.1016/0168-0072(91)90016-f.
Full textGitik, Moti. "The negation of the singular cardinal hypothesis from o(K)=K++." Annals of Pure and Applied Logic 43, no. 3 (August 1989): 209–34. http://dx.doi.org/10.1016/0168-0072(89)90069-9.
Full textKojman, Menachem, and Saharon Shelah. "Nonexistence of universal orders in many cardinals." Journal of Symbolic Logic 57, no. 3 (September 1992): 875–91. http://dx.doi.org/10.2307/2275437.
Full textMATSUBARA, YO, and SAHARON SHELAH. "NOWHERE PRECIPITOUSNESS OF THE NON-STATIONARY IDEAL OVER ${\mathcal P}_\kappa \lambda$." Journal of Mathematical Logic 02, no. 01 (May 2002): 81–89. http://dx.doi.org/10.1142/s021906130200014x.
Full textVasey, Sebastien. "Toward a stability theory of tame abstract elementary classes." Journal of Mathematical Logic 18, no. 02 (November 20, 2018): 1850009. http://dx.doi.org/10.1142/s0219061318500095.
Full textSinapova, Dima. "The tree property and the failure of the Singular Cardinal Hypothesis at ℵω2." Journal of Symbolic Logic 77, no. 3 (September 2012): 934–46. http://dx.doi.org/10.2178/jsl/1344862168.
Full textBAGARIA, JOAN, and MENACHEM MAGIDOR. "ON ${\omega _1}$-STRONGLY COMPACT CARDINALS." Journal of Symbolic Logic 79, no. 01 (March 2014): 266–78. http://dx.doi.org/10.1017/jsl.2013.12.
Full textZapletal, Jindřich. "Analytic Equivalence Relations and the Forcing Method." Bulletin of Symbolic Logic 19, no. 4 (September 2013): 473–90. http://dx.doi.org/10.1017/s107989860001057x.
Full textSakai, Hiroshi, and Boban Veličković. "Stationary reflection principles and two cardinal tree properties." Journal of the Institute of Mathematics of Jussieu 14, no. 1 (November 1, 2013): 69–85. http://dx.doi.org/10.1017/s1474748013000315.
Full textMoore, Justin Tatch. "Proper Forcing, Cardinal Arithmetic, and Uncountable Linear Orders." Bulletin of Symbolic Logic 11, no. 1 (March 2005): 51–60. http://dx.doi.org/10.2178/bsl/1107959499.
Full textSteel, John R. "PFA implies ADL(ℝ)." Journal of Symbolic Logic 70, no. 4 (December 2005): 1255–96. http://dx.doi.org/10.2178/jsl/1129642125.
Full textCUMMINGS, JAMES, MATTHEW FOREMAN, and MENACHEM MAGIDOR. "SQUARES, SCALES AND STATIONARY REFLECTION." Journal of Mathematical Logic 01, no. 01 (May 2001): 35–98. http://dx.doi.org/10.1142/s021906130100003x.
Full textGitik, Moti, and Menachem Magidor. "Extender based forcings." Journal of Symbolic Logic 59, no. 2 (June 1994): 445–60. http://dx.doi.org/10.2307/2275399.
Full textCummings, James. "Moti Gitik. The strength of the failure of the singular cardinal hypothesis. Annals of pure and applied logic, vol. 51 (1991), pp. 215–240." Journal of Symbolic Logic 60, no. 1 (March 1995): 340. http://dx.doi.org/10.2307/2275527.
Full textMitchell, W. J. "Moti Gitik. The negation of the singular cardinal hypothesis from O(K) = K++. Annals of pure and applied logic, vol. 43 (1989), pp. 209–234." Journal of Symbolic Logic 56, no. 1 (March 1991): 344. http://dx.doi.org/10.2307/2274937.
Full textKomjáth, Péter. "Some remarks on the partition calculus of ordinals." Journal of Symbolic Logic 64, no. 2 (June 1999): 436–42. http://dx.doi.org/10.2307/2586476.
Full textGitik, Moti, and Peter Koepke. "Violating the singular cardinals hypothesis without large cardinals." Israel Journal of Mathematics 191, no. 2 (March 15, 2012): 901–22. http://dx.doi.org/10.1007/s11856-012-0028-x.
Full textApter, Arthur W. "Successors of singular cardinals and measurability revisited." Journal of Symbolic Logic 55, no. 2 (June 1990): 492–501. http://dx.doi.org/10.2307/2274642.
Full textSchmerl, James H. "Some highly saturated models of Peano arithmetic." Journal of Symbolic Logic 67, no. 4 (December 2002): 1265–73. http://dx.doi.org/10.2178/jsl/1190150284.
Full textGolshani, Mohammad. "The generalized Kurepa hypothesis at singular cardinals." Periodica Mathematica Hungarica 78, no. 2 (November 21, 2018): 200–202. http://dx.doi.org/10.1007/s10998-018-0267-7.
Full textIsmail, M., and A. Szymanski. "A topological equivalence of the singular cardinals hypothesis." Proceedings of the American Mathematical Society 123, no. 3 (March 1, 1995): 971. http://dx.doi.org/10.1090/s0002-9939-1995-1285997-0.
Full textMatsubara, Yo, and Toshimichi Usuba. "On skinny stationary subsets of." Journal of Symbolic Logic 78, no. 2 (June 2013): 667–80. http://dx.doi.org/10.2178/jsl.7802180.
Full textCummings, James, Yair Hayut, Menachem Magidor, Itay Neeman, Dima Sinapova, and Spencer Unger. "The ineffable tree property and failure of the singular cardinals hypothesis." Transactions of the American Mathematical Society 373, no. 8 (April 16, 2020): 5937–55. http://dx.doi.org/10.1090/tran/8110.
Full textMoore, Justin Tatch. "The Proper Forcing Axiom, Prikry forcing, and the Singular Cardinals Hypothesis." Annals of Pure and Applied Logic 140, no. 1-3 (July 2006): 128–32. http://dx.doi.org/10.1016/j.apal.2005.09.011.
Full textCummings, James. "Moti Gitik and Menachem Magidor. The singular cardinal hypothesis revisited. Set theory of the continuum, edited by H. Judah, W. Just, and H. Woodin, Mathematical Sciences Research Institute publications, vol. 26, Springer-Verlag, New York etc. 1992, pp. 243–279." Journal of Symbolic Logic 60, no. 1 (March 1995): 339–40. http://dx.doi.org/10.2307/2275526.
Full textKanamori, Akihiro. "Moti Gitik and Menachem Magidor. Extender based forcings. The Journal of Symbolic Logic, vol. 59 (1994), pp. 445–460. - Moti Gitik and William J. Mitchell. Indiscernible sequences for extenders, and the singular cardinal hypothesis. Annals of Pure and Applied Logic, vol. 82 (1996), pp. 273–316. - Moti Gitik. Blowing up the power of a singular cardinal. Annals of Pure and Applied Logic, vol. 80 (1996), pp. 17–33. - Moti Gitik and Carmi Merimovich. Possible values for and . Annals of Pure and Applied Logic, vol. 90 (1997), pp. 193–241. - Moti Gitik. Blowing up power of a singular cardinal—wider gaps. Annals of Pure and Applied Logic, vol. 116 (2002), pp. 1–38." Bulletin of Symbolic Logic 9, no. 2 (June 2003): 237–41. http://dx.doi.org/10.1017/s1079898600004637.
Full textCummings, James. "Itay Neeman. Aronszajn trees and failure of the Singular Cardinal Hypothesis. Journal of Mathematical Logic, vol. 9, no. 1 (2009), pp. 139–157. - Dima Sinapova. The tree property at אּω+1. Journal of Symbolic Logic, vol. 77, no. 1 (2012), pp. 279–290. - Dima Sinapova. The tree property and the failure of SCH at uncountable cofinality. Archive for Mathematical Logic, vol. 51, no. 5-6 (2012), pp. 553–562. - Dima Sinapova. The tree property and the failure of the Singular Cardinal Hypothesis at אּω2. Journal of Symbolic Logic, vol. 77, no. 3 (2012), pp. 934–946. - Spencer Unger. Aronszajn trees and the successors of a singular cardinal. Archive for Mathematical Logic, vol. 52, no. 5-6 (2013), pp. 483–496. - Itay Neeman. The tree property up to אּω+1. Journal of Symbolic Logic. vol. 79, no. 2 (2014), pp. 429–459." Bulletin of Symbolic Logic 21, no. 2 (June 2015): 188–92. http://dx.doi.org/10.1017/bsl.2015.13.
Full textMatet, Pierre. "Yoshihiro Abe. Weakly normal filters and the closed unbounded filter on Pkλ. Proceedings of the American Mathematical Society, vol. 104 (1998), pp. 1226–1234. - Yoshihiro Abe. Weakly normal filters and large cardinals. Tsukuba journal of mathematics, vol. 16 (1992), pp. 487–494. - Yoshihiro Abe. Weakly normal ideals on Pkλ and the singular cardinal hypothesis. Fundamenta mathematicae, vol. 143 (1993), pp. 97–106. - Yoshihiro Abe. Saturation of fundamental ideals on Pkλ. Journal of the Mathematical Society of Japan, vol. 48 (1996), pp. 511–524. - Yoshihiro Abe. Strongly normal ideals on Pkλ and the Sup-function. opology and its applications, vol. 74 (1996), pp. 97–107. - Yoshihiro Abe. Combinatorics for small ideals on Pkλ. Mathematical logic quarterly, vol. 43 (1997), pp. 541–549. - Yoshihiro Abe and Masahiro Shioya. Regularity of ultrafilters and fixed points of elementary embeddings. Tsukuba journal of mathematics, vol. 22 (1998), pp. 31–37." Bulletin of Symbolic Logic 8, no. 2 (June 2002): 309–11. http://dx.doi.org/10.2178/bsl/1182353882.
Full textMohammadpour, Rahman, and Boban Veličković. "Guessing models and the approachability ideal." Journal of Mathematical Logic, October 6, 2020, 2150003. http://dx.doi.org/10.1142/s0219061321500033.
Full textPoveda, Alejandro, Assaf Rinot, and Dima Sinapova. "Sigma-Prikry forcing II: Iteration Scheme." Journal of Mathematical Logic, January 18, 2021, 2150019. http://dx.doi.org/10.1142/s0219061321500197.
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