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Successor of Singular Cardinal Analytic sets Distributive tree Hindman's Theorem Subtle tree property Amenable C-sequence Subadditive Universal Sequences Strongly Luzin set Subtle cardinal Rado's conjecture Kurepa Hypothesis Mandelbrot set Commutative cancellative semigroups ccc Diamond-sharp C-sequence Whitehead Problem countably metacompact Uniformization Ascent Path middle diamond Weakly compact cardinal Dushnik-Miller Large Cardinals Sigma-Prikry positive partition relation approachability ideal P-Ideal Dichotomy Dowker space S-Space Axiom R super-Souslin tree Ramsey theory over partitions unbounded function Parameterized proxy principle OCA Sierpinski's onto mapping principle Lipschitz reduction ZFC construction Aronszajn tree Subnormal ideal Almost Souslin Luzin set 54G20 O-space Reflecting stationary set HOD PFA(S)[S] Minimal Walks Precaliber free Boolean algebra Well-behaved magma Antichain Shelah's Strong Hypothesis Club Guessing Reduced Power Sakurai's Bell inequality Was Ulam right full tree Iterated forcing sap higher Baire space xbox Nonspecial tree Foundations PFA Knaster GMA Diamond Chang's conjecture strongly bounded groups Generalized Clubs Forcing very good scale SNR square weak square Souslin Tree Singular Density AIM forcing Prevalent singular cardinals Martin's Axiom Diamond for trees Poset projective Boolean algebra Coherent tree regressive Souslin tree Selective Ultrafilter Successor of Regular Cardinal Fast club Slim tree Uniformly homogeneous specializable Souslin tree L-space Ineffable cardinal club_AD coloring number Partition Relations weak diamond Ostaszewski square Postprocessing function Fat stationary set Almost-disjoint family indecomposable ultrafilter Prikry-type forcing transformations Generalized descriptive set theory Ulam matrix Greatly Mahlo free Souslin tree Singular cardinals combinatorics Cohen real Chromatic number Constructible Universe Non-saturation Almost countably chromatic Jonsson cardinal Uniformly coherent polarized partition relation Hereditarily Lindelöf space square principles reflection principles b-scale Knaster and friends stationary reflection tensor product graph Erdos-Hajnal graphs Closed coloring Square-Brackets Partition Relations Filter reflection Cardinal Invariants Strong coloring Forcing Axioms Rainbow sets stick Vanishing levels incompactness diamond star stationary hitting Local Club Condensation. Erdos Cardinal Fodor-type reflection Hedetniemi's conjecture Small forcing Microscopic Approach Rock n' Roll Singular cofinality nonmeager set Cardinal function Open Access Absoluteness
Tag Archives: Whitehead Problem
Jensen’s diamond principle and its relatives
This is chapter 6 in the book Set Theory and Its Applications (ISBN: 0821848127). Abstract: We survey some recent results on the validity of Jensen’s diamond principle at successor cardinals. We also discuss weakening of this principle such as club … Continue reading
Shelah’s solution to Whitehead’s problem
Whitehead problem notes in hebrew : Table of contents Chapter 0 Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 References