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