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