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All published works (24)

Action Title Date Authors
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Embeddings, projections, and Easton’s lemma 2025-02-28 Šárka Stejskalová
Kurepa trees, continuous images, and perfect set properties 2024-11-29 Chris Lambie‐Hanson Šárka Stejskalová
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Club stationary reflection and other combinatorial principles at ℵ+2 2024-07-01 Thomas Gilton Šárka Stejskalová
Forcing Over a Free Suslin Tree 2024-01-31 John Krueger Šárka Stejskalová
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Strong tree properties, Kurepa trees, and guessing models 2023-11-25 Chris Lambie‐Hanson Šárka Stejskalová
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Indestructibility of some compactness principles over models of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="sans-serif">PFA</mml:mi></mml:math> 2023-08-30 Radek Honzík Chris Lambie‐Hanson Šárka Stejskalová
Guessing models, trees, and cardinal arithmetic 2023-01-01 Chris Lambie‐Hanson Šárka Stejskalová
Generalized cardinal invariants for an inaccessible $κ$ with compactness at $κ^{++}$ 2023-01-01 Radek Honzík Šárka Stejskalová
TREES AND STATIONARY REFLECTION AT DOUBLE SUCCESSORS OF REGULAR CARDINALS 2022-02-14 Thomas Gilton Maxwell Levine Šárka Stejskalová
Indestructibility of some compactness principles over models of PFA 2022-01-01 Radek Honzík Chris Lambie‐Hanson Šárka Stejskalová
Strong tree properties, Kurepa trees, and guessing models 2022-01-01 Chris Lambie‐Hanson Šárka Stejskalová
Club Stationary Reflection and other Combinatorial Principles at $\aleph_{ω+2}$ 2022-01-01 Thomas Gilton Šárka Stejskalová
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Small $$\mathfrak {u}(\kappa )$$ at singular $$\kappa $$ with compactness at $$\kappa ^{++}$$ 2021-05-27 Radek Honzík Šárka Stejskalová
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Easton's theorem for the tree property below ℵ 2021-04-06 Šárka Stejskalová
Trees and stationary reflection at double successors of regular cardinals 2021-01-01 Thomas Gilton Maxwell Levine Šárka Stejskalová
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The tree property at $\aleph _{\omega +2}$ with a finite gap 2020-01-01 Sy‐David Friedman Radek Honzík Šárka Stejskalová
Small u(kappa) at singular kappa with compactness at kappa 2019-10-31 Radek Honzík Šárka Stejskalová
INDESTRUCTIBILITY OF THE TREE PROPERTY 2019-09-16 Radek Honzík Šárka Stejskalová
Easton's theorem for the tree property below aleph_omega 2019-01-01 Šárka Stejskalová
Small u(kappa) at singular kappa with compactness at kappa++ 2019-01-01 Radek Honzík Šárka Stejskalová
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The tree property and the continuum function below 2018-04-01 Radek Honzík Šárka Stejskalová
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The tree property at the double successor of a singular cardinal with a larger gap 2018-02-21 Sy‐David Friedman Radek Honzík Šárka Stejskalová
Grigorieff forcing and the tree property 2017-11-14 Šárka Stejskalová
A survey of special Aronszajn trees 2016-08-08 Radek Honzík Šárka Stejskalová

Commonly Cited References

Action Title Date Authors # of times referenced
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Aronszajn trees on ℵ2 and ℵ3 1983-09-01 Uri Abraham 9
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Fragility and indestructibility of the tree property 2012-05-08 Spencer Unger 8
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Aronszajn trees and the independence of the transfer property 1972-12-01 William Mitchell 8
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The Tree Property 1998-01-01 James Cummings Matthew Foreman 7
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THE EIGHTFOLD WAY 2018-03-01 James Cummings Sy‐David Friedman Menachem Magidor Assaf Rinot Dima Sinapova 6
INDESTRUCTIBILITY OF THE TREE PROPERTY 2019-09-16 Radek Honzík Šárka Stejskalová 5
Approachability at the second successor of a singular cardinal 2009-10-05 Moti Gitik John Krueger 5
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Results on the Generic Kurepa Hypothesis 1990-01-01 Ronald Björn Jensen Karl Schlechta 4
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The tree property at $\aleph _{\omega +2}$ with a finite gap 2020-01-01 Sy‐David Friedman Radek Honzík Šárka Stejskalová 4
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THE TREE PROPERTY UP TO א<sub><i>ω</i>+1</sub> 2014-06-01 Itay Neeman 4
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A note on the eightfold way 2019-07-24 Thomas Gilton John Krueger 4
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The tree property at the double successor of a singular cardinal with a larger gap 2018-02-21 Sy‐David Friedman Radek Honzík Šárka Stejskalová 4
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Perfect-set forcing for uncountable cardinals 1980-11-01 Akihiro Kanamori 4
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Iterated Forcing and Elementary Embeddings 2009-12-09 James Cummings 4
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Some consequences of MA + ¬wKH 1981-05-01 Stevo Todorčević 3
Small embedding characterizations for large cardinals 2018-10-15 Peter Holy Philipp Lücke Ana Njegomir 3
On the consistency strength of the proper forcing axiom 2011-08-07 Matteo Viale Christoph Weiß 3
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Some combinatorial problems concerning uncountable cardinals 1973-05-01 Thomas Jech 3
Changing cofinality of cardinals 1978-01-01 Menachem Magidor 3
Guessing models and generalized Laver diamond 2011-12-29 Matteo Viale 3
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The tree property and the continuum function below 2018-04-01 Radek Honzík Šárka Stejskalová 3
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Combinatorics on ideals and forcing 1971-12-01 Serge Grigorieff 3
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The tree property at the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="normal">ℵ</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>'s and the failure of SCH at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="normal">ℵ</mml:mi></mml:mrow><mml:mrow><mml:mi>ω</mml:mi></mml:mrow></… 2014-12-20 Sy‐David Friedman Radek Honzík 3
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Set Theory An Introduction to Independence Proofs 1980-01-01 Kenneth Kunen 3
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Reflecting stationary sets 1982-12-01 Menachem Magidor 3
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Cardinal characteristics at κ in a small <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="fraktur">u</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>κ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> model 2016-08-26 Andrew D. Brooke-Taylor Vera Fischer Sy D. Friedman Diana Carolina Montoya 3
Guessing models imply the singular cardinal hypothesis 2019-06-26 John Krueger 3
The combinatorial essence of supercompactness 2012-01-25 Christoph Weiß 3
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ITERATED FORCING 1983-10-13 James E. Baumgartner 3
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The consistency strength of successive cardinals with the tree property 2001-12-01 Matthew Foreman Menachem Magidor Ralf‐Dieter Schindler 3
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Small $$\mathfrak {u}(\kappa )$$ at singular $$\kappa $$ with compactness at $$\kappa ^{++}$$ 2021-05-27 Radek Honzík Šárka Stejskalová 3
A strong polarized relation 2012-09-01 Shimon Garti Saharon Shelah 3
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Aronszajn trees and the successors of a singular cardinal 2013-02-25 Spencer Unger 3
Indestructible guessing models and the continuum 2017-01-01 Sean Cox John Krueger 3
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Powers of regular cardinals 1970-01-01 William B. Easton 3
Consistency results concerning supercompactness 1976-01-01 Telis K. Menas 2
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Proper and Improper Forcing 1998-01-01 Saharon Shelah 2
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Sur un Problème de Sikorski 1990-01-01 E. Specker 2
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THE TREE PROPERTY AT AND 2018-06-01 Dima Sinapova Spencer Unger 2
Easton’s theorem in the presence of Woodin cardinals 2013-04-15 Brent Cody 2
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On the Hamkins approximation property 2006-06-13 William J. Mitchell 2
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The lottery preparation 2000-02-01 Joel David Hamkins 2
Cardinal invariants above the continuum 1995-10-01 James Cummings Saharon Shelah 2
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On strong compactness and supercompactness 1975-01-01 Telis K. Menas 2
Combinatorial characterization of supercompact cardinals 1974-01-01 Menachem Magidor 2
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Ascending paths and forcings that specialize higher Aronszajn trees 2017-01-01 Philipp Lücke 2
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The tree property at ℵ<sub><i>ω</i>+2</sub> 2011-05-19 Sy‐David Friedman Ajdin Halilović 2
Squares and covering matrices 2013-10-26 Chris Lambie‐Hanson 2
Strong tree properties for two successive cardinals 2012-05-03 Laura Fontanella 2
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Making the supercompactness of κ indestructible under κ-directed closed forcing 1978-12-01 Richard Laver 2