43 found
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John Krueger [33]John R. Krueger [23]
  1.  17
    Forcing with Adequate Sets of Models as Side Conditions.John Krueger - 2017 - Mathematical Logic Quarterly 63 (1-2):124-149.
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  2.  19
    Coherent Adequate Forcing and Preserving CH.John Krueger & Miguel Angel Mota - 2015 - Journal of Mathematical Logic 15 (2):1550005.
    We develop a general framework for forcing with coherent adequate sets on [Formula: see text] as side conditions, where [Formula: see text] is a cardinal of uncountable cofinality. We describe a class of forcing posets which we call coherent adequate type forcings. The main theorem of the paper is that any coherent adequate type forcing preserves CH. We show that there exists a forcing poset for adding a club subset of [Formula: see text] with finite conditions while preserving CH, solving (...)
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  3.  13
    Quotients of Strongly Proper Forcings and Guessing Models.Sean Cox & John Krueger - 2016 - Journal of Symbolic Logic 81 (1):264-283.
  4.  13
    Adding a Club with Finite Conditions, Part II.John Krueger - 2015 - Archive for Mathematical Logic 54 (1-2):161-172.
    We define a forcing poset which adds a club subset of a given fat stationary set S⊆ω2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${S \subseteq \omega_2}$$\end{document} with finite conditions, using S-adequate sets of models as side conditions. This construction, together with the general amalgamation results concerning S-adequate sets on which it is based, is substantially shorter and simpler than our original version in Krueger :119–136, 2014).
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  5.  20
    Strongly Adequate Sets and Adding a Club with Finite Conditions.John Krueger - 2014 - Archive for Mathematical Logic 53 (1-2):119-136.
    We continue the study of adequate sets which we began in (Krueger in Forcing with adequate sets of models as side conditions) by introducing the idea of a strongly adequate set, which has an additional requirement on the overlap of two models past their comparison point. We present a forcing poset for adding a club to a fat stationary subset of ω 2 with finite conditions, thereby showing that a version of the forcing posets of Friedman (Set theory: Centre de (...)
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  6.  18
    A General Mitchell Style Iteration.John Krueger - 2008 - Mathematical Logic Quarterly 54 (6):641-651.
    We work out the details of a schema for a mixed support forcing iteration, which generalizes the Mitchell model [7] with no Aronszajn trees on ω2.
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  7.  21
    An Equiconsistency Result on Partial Squares.John Krueger & Ernest Schimmerling - 2011 - Journal of Mathematical Logic 11 (1):29-59.
    We prove that the following two statements are equiconsistent: there exists a greatly Mahlo cardinal; there exists a regular uncountable cardinal κ such that no stationary subset of κ+ ∩ cof carries a partial square.
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  8.  10
    The Approachability Ideal Without a Maximal Set.John Krueger - 2019 - Annals of Pure and Applied Logic 170 (3):297-382.
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  9.  24
    Internal Approachability and Reflection.John Krueger - 2008 - Journal of Mathematical Logic 8 (1):23-39.
    We prove that the Weak Reflection Principle does not imply that every stationary set reflects to an internally approachable set. We show that several variants of internal approachability, namely, internally unbounded, internally stationary, and internally club, are not provably equivalent.
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  10.  14
    Some Applications of Mixed Support Iterations.John Krueger - 2009 - Annals of Pure and Applied Logic 158 (1-2):40-57.
    We give some applications of mixed support forcing iterations to the topics of disjoint stationary sequences and internally approachable sets. In the first half of the paper we study the combinatorial content of the idea of a disjoint stationary sequence, including its relation to adding clubs by forcing, the approachability ideal, canonical structure, the proper forcing axiom, and properties related to internal approachability. In the second half of the paper we present some consistency results related to these ideas. We construct (...)
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  11.  27
    Dense Non-Reflection for Stationary Collections of Countable Sets.David Asperó, John Krueger & Yasuo Yoshinobu - 2010 - Annals of Pure and Applied Logic 161 (1):94-108.
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  12.  10
    Mitchell's Theorem Revisited.Thomas Gilton & John Krueger - 2017 - Annals of Pure and Applied Logic 168 (5):922-1016.
  13.  50
    Radin Forcing and its Iterations.John Krueger - 2007 - Archive for Mathematical Logic 46 (3-4):223-252.
    We provide an exposition of supercompact Radin forcing and present several methods for iterating Radin forcing.
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  14.  20
    Strong Compactness and Stationary Sets.John Krueger - 2005 - Journal of Symbolic Logic 70 (3):767 - 777.
    We construct a model in which there is a strongly compact cardinal κ such that the set $S(\kappa,\kappa ^{+})=\{a\in P_{\kappa}\kappa ^{-}\colon o,t(a)=(a\cap \kappa)^{+}\})$ is non-stationary.
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  15.  11
    Separating Weak Partial Square Principles.John Krueger & Ernest Schimmerling - 2014 - Annals of Pure and Applied Logic 165 (2):609-619.
    We introduce the weak partial square principles View the MathML source and View the MathML source, which combine the ideas of a weak square sequence and a partial square sequence. We construct models in which weak partial square principles fail. The main result of the paper is that □λ,κ does not imply View the MathML source.
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  16.  73
    Approachability at the Second Successor of a Singular Cardinal.Moti Gitik & John Krueger - 2009 - Journal of Symbolic Logic 74 (4):1211 - 1224.
    We prove that if μ is a regular cardinal and ℙ is a μ-centered forcing poset, then ℙ forces that $(I[\mu ^{ + + } ])^V $ generates I[µ⁺⁺] modulo clubs. Using this result, we construct models in which the approachability property fails at the successor of a singular cardinal. We also construct models in which the properties of being internally club and internally approachable are distinct for sets of size the successor of a singular cardinal.
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  17.  37
    Weak Compactness and No Partial Squares.John Krueger - 2011 - Journal of Symbolic Logic 76 (3):1035 - 1060.
    We present a characterization of weakly compact cardinals in terms of generalized stationarity. We apply this characterization to construct a model with no partial square sequences.
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  18.  27
    Fat Sets and Saturated Ideals.John Krueger - 2003 - Journal of Symbolic Logic 68 (3):837-845.
    We strengthen a theorem of Gitik and Shelah [6] by showing that if κ is either weakly inaccessible or the successor of a singular cardinal and S is a stationary subset of κ such that $NS_{\kappa} \upharpoonright S$ is saturated then $\kappa \S$ is fat. Using this theorem we derive some results about the existence of fat stationary sets. We then strengthen some results due to Baumgartner and Taylor [2], showing in particular that if I is a $\lambda^{+++}-saturated$ normal ideal (...)
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  19. Club Isomorphisms on Higher Aronszajn Trees.John Krueger - 2018 - Annals of Pure and Applied Logic 169 (10):1044-1081.
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  20.  17
    Vergleichende Grammatik der altaischen Sprachen. Teil I, Vergleichende Lautlehre.John R. Krueger & Nicholas Poppe - 1961 - Journal of the American Oriental Society 81 (1):70.
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  21.  6
    A Forcing Axiom for a Non-Special Aronszajn Tree.John Krueger - 2020 - Annals of Pure and Applied Logic 171 (8):102820.
    Suppose that T^∗ is an ω_1-Aronszajn tree with no stationary antichain. We introduce a forcing axiom PFA(T^∗) for proper forcings which preserve these properties of T^∗. We prove that PFA(T^∗) implies many of the strong consequences of PFA, such as the failure of very weak club guessing, that all of the cardinal characteristics of the continuum are greater than ω_1, and the P-ideal dichotomy. On the other hand, PFA(T^∗) implies some of the consequences of diamond principles, such as the existence (...)
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  22.  9
    Namba Forcing, Weak Approximation, and Guessing.Sean Cox & John Krueger - 2018 - Journal of Symbolic Logic 83 (4):1539-1565.
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  23.  14
    Kalmyk-Oirat Symposium.C. R. Bawden, Arash Bormanshinov & John R. Krueger - 1967 - Journal of the American Oriental Society 87 (4):613.
  24.  12
    Yazyk Orkhono-Yeniseiskikh pamyatnikov.John R. Krueger & V. M. Nasilov - 1961 - Journal of the American Oriental Society 81 (4):445.
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  25.  12
    Mongolia and the Mongols.Owen Lattimore, A. M. Pozdneyev, John Roger Shaw, Dale Plank & John R. Krueger - 1973 - Journal of the American Oriental Society 93 (4):647.
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  26.  12
    Linguistics in East Asia and South East AsiaCurrent Trends in Linguistics, Volume II.Roy Andrew Miller, Yuen Ren Chao, Richard B. Noss, Joseph K. Yamagiwa, John R. Krueger & Thomas A. Sebeok - 1972 - Journal of the American Oriental Society 92 (1):137.
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  27.  12
    Mongolia and the Mongols. Volume II.Henry Serruys, A. M. Pozdneyev, John R. Krueger & William H. Dougherty - 1978 - Journal of the American Oriental Society 98 (4):578.
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  28.  7
    The Harrington–Shelah Model with Large Continuum.Thomas Gilton & John Krueger - 2019 - Journal of Symbolic Logic 84 (2):684-703.
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  29.  10
    Materials for an Oirat-Mongolian to English Citation Dictionary. Part One: The Vowels a E I o Ö U üMaterials for an Oirat-Mongolian to English Citation Dictionary. Part One: The Vowels a E I o o U U.Larry V. Clark & John R. Krueger - 1979 - Journal of the American Oriental Society 99 (3):513.
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  30.  10
    Buriat Reader.John R. Krueger, James E. Bosson & Nicholas Poppe - 1963 - Journal of the American Oriental Society 83 (4):517.
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  31.  10
    Successive Cardinals with No Partial Square.John Krueger - 2014 - Archive for Mathematical Logic 53 (1-2):11-21.
    We construct a model in which for all 1 ≤ n < ω, there is no stationary subset of ${\aleph_{n+1} \cap {\rm cof}(\aleph_n)}$ which carries a partial square.
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  32.  7
    The Secret History of the Mongol Dynasty (Yüan-Chao Pi-Shih)The Secret History of the Mongol Dynasty.John R. Krueger & Wei Kwei Sun - 1961 - Journal of the American Oriental Society 81 (4):444.
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  33.  7
    The Kalmyk-Mongolian Vocabulary in Stralenberg's Geography of 1730.Nicholas Poppe & John R. Krueger - 1978 - Journal of the American Oriental Society 98 (2):187.
  34.  6
    Materials for an Oirat-Mongolian to English Citation Dictionary. Part One: The Vowels a E I o Ö U üMaterials for an Oirat-Mongolian to English Citation Dictionary. Part One: The Vowels a E I o o U U.Larry V. Clark & John R. Krueger - 1979 - Journal of the American Oriental Society 99 (3):514.
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  35.  6
    The Uralic and Altaic Series: An Analytical Index, Including a Complete Index to Keleti Szemle.John C. Street & John R. Krueger - 1971 - Journal of the American Oriental Society 91 (4):528.
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  36.  5
    Türkische Freilassungserklärungen des 18. Jahrhunderts (1702-1776)Turkische Freilassungserklarungen des 18. Jahrhunderts. [REVIEW]John R. Krueger & Karl Jahn - 1965 - Journal of the American Oriental Society 85 (2):229.
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  37.  9
    Adding Clubs with Square.John Krueger - 2006 - Annals of Pure and Applied Logic 141 (1):1-28.
    We present a technique for destroying stationary subsets of Pκκ+ using partial square sequences. We combine this method with Gitik’s poset for changing the cofinality of a cardinal without adding bounded sets to prove a variety of consistency results concerning saturated ideals and the set S.
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  38.  16
    Religion and Ritual in Society: Lamaist Buddhism in Late 19th-Century Mongolia.Henry Serruys, A. M. Pozdneyev, John R. Krueger, Alo Raun & Linda Raun - 1980 - Journal of the American Oriental Society 100 (3):392.
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  39.  4
    Namba Forcing and No Good Scale.John Krueger - 2013 - Journal of Symbolic Logic 78 (3):785-802.
  40.  3
    Der Kienlung-Druck des mongolischen Geschichtswerkes Erdeni yin tobci von Saġgang SecenDer Kienlung-Druck des mongolischen Geschichtswerkes Erdeni yin tobci von Saggang Secen.John R. Krueger & Erich Haenisch - 1960 - Journal of the American Oriental Society 80 (3):274.
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  41.  2
    Dokumente Aus Dem Jahre 1788 Zur Vorgeschichte des Gorka-Krieges.John R. Krueger & Erich Haenisch - 1960 - Journal of the American Oriental Society 80 (3):279.
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  42.  1
    An Introduction to Classical (Literary) Mongolian. Introduction, Grammar, Reader, Glossary.Larry V. Clark, Kaare Gro̵nbech, John R. Krueger & Kaare Gronbech - 1978 - Journal of the American Oriental Society 98 (2):141.
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  43.  1
    A Mongolian Living Buddha: Biography of the Kanjurwa Khutughtu.John R. Krueger, Paul Hyer & Sechin Jagchid - 1986 - Journal of the American Oriental Society 106 (4):876.
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