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Subtle cardinal positive partition relation Club Guessing xbox L-space Jonsson cardinal Fodor-type reflection Selective Ultrafilter Martin's Axiom diamond star Prevalent singular cardinals Reduced Power Uniformly homogeneous S-Space Iterated forcing sap PFA Small forcing Mandelbrot set unbounded function free Boolean algebra Generalized descriptive set theory stationary hitting Greatly Mahlo Diamond-sharp Strongly Luzin set OCA Ulam matrix Hindman's Theorem Aronszajn tree Local Club Condensation. Successor of Singular Cardinal AIM forcing PFA(S)[S] Fat stationary set polarized partition relation Almost Souslin C-sequence Rock n' Roll Sierpinski's onto mapping principle Foundations Well-behaved magma Was Ulam right Subnormal ideal Open Access weak diamond full tree Almost countably chromatic Postprocessing function Diamond for trees incompactness weak square Coherent tree middle diamond Whitehead Problem Ineffable cardinal Generalized Clubs Fast club reflection principles regressive Souslin tree Universal Sequences Sakurai's Bell inequality Forcing Axioms HOD Rado's conjecture Erdos Cardinal free Souslin tree countably metacompact Uniformization Parameterized proxy principle Analytic sets Erdos-Hajnal graphs Large Cardinals Knaster and friends Nonspecial tree Hedetniemi's conjecture Axiom R Dowker space Chang's conjecture P-Ideal Dichotomy super-Souslin tree Singular cofinality Strong coloring Distributive tree Non-saturation Uniformly coherent higher Baire space Antichain Souslin Tree Vanishing levels stationary reflection Weakly compact cardinal Subadditive Sigma-Prikry Knaster Closed coloring Cardinal Invariants square Ostaszewski square Lipschitz reduction Ascent Path b-scale stick Forcing Partition Relations Precaliber Square-Brackets Partition Relations Singular cardinals combinatorics strongly bounded groups approachability ideal Successor of Regular Cardinal Commutative cancellative semigroups Prikry-type forcing nonmeager set Diamond Reflecting stationary set projective Boolean algebra ZFC construction coloring number Shelah's Strong Hypothesis Chromatic number Singular Density Amenable C-sequence Absoluteness Cardinal function square principles Luzin set specializable Souslin tree Cohen real Minimal Walks Ramsey theory over partitions Hereditarily Lindelöf space Filter reflection club_AD transformations Subtle tree property SNR Constructible Universe very good scale Slim tree Almost-disjoint family 54G20 GMA Poset Kurepa Hypothesis Microscopic Approach Dushnik-Miller O-space ccc Rainbow sets tensor product graph indecomposable ultrafilter
Tag Archives: Small forcing
A cofinality-preserving small forcing may introduce a special Aronszajn tree
Extended Abstract: Shelah proved that Cohen forcing introduces a Souslin tree; Jensen proved that a c.c.c. forcing may consistently add a Kurepa tree; Todorcevic proved that a Knaster poset may already force the Kurepa hypothesis; Irrgang introduced a c.c.c. notion … Continue reading
Posted in Publications, Squares and Diamonds
Tagged 03E04, 03E05, 03E35, Aronszajn tree, Small forcing, Successor of Singular Cardinal, weak square
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