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