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