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