Archives
Keywords
Well-behaved magma Kurepa Hypothesis Souslin Tree stationary hitting Prevalent singular cardinals Generalized descriptive set theory projective Boolean algebra super-Souslin tree b-scale tensor product graph Antichain Dushnik-Miller Subtle cardinal square Diamond Coherent tree Forcing Axioms Postprocessing function Amenable C-sequence square principles Diamond for trees Whitehead Problem Vanishing levels Almost-disjoint family Singular cofinality indecomposable ultrafilter Shelah's Strong Hypothesis Uniformly homogeneous Aronszajn tree Knaster stationary reflection Filter reflection Ulam matrix countably metacompact PFA polarized partition relation stick Cardinal Invariants AIM forcing club_AD Chromatic number free Boolean algebra sap regressive Souslin tree Uniformly coherent P-Ideal Dichotomy Open Access Constructible Universe reflection principles Subnormal ideal Parameterized proxy principle Respecting tree C-sequence Mandelbrot set nonmeager set strongly bounded groups incompactness Rock n' Roll Hereditarily Lindelöf space Analytic sets Generalized Clubs Large Cardinals Luzin set Intersection model Erdos Cardinal transformations Almost countably chromatic approachability ideal Reduced Power Closed coloring Commutative projection system positive partition relation Dowker space Lipschitz reduction very good scale ccc Local Club Condensation. Hindman's Theorem Jonsson cardinal Martin's Axiom Square-Brackets Partition Relations Ineffable cardinal Forcing coloring number Selective Ultrafilter unbounded function Hedetniemi's conjecture weak square Reflecting stationary set HOD free Souslin tree middle diamond Absoluteness Rainbow sets L-space Nonspecial tree PFA(S)[S] Fat stationary set xbox SNR 54G20 Strongly compact cardinal Erdos-Hajnal graphs Prikry-type forcing Poset Fast club Strongly Luzin set OCA Fodor-type reflection Partition Relations weak diamond Minimal Walks Rado's conjecture Foundations Chang's conjecture Distributive tree Sakurai's Bell inequality Cohen real Greatly Mahlo specializable Souslin tree Cardinal function S-Space Successor of Regular Cardinal Countryman line Singular cardinals combinatorics GMA Iterated forcing Successor of Singular Cardinal Was Ulam right? Knaster and friends Club Guessing Diamond-sharp Uniformization full tree Universal Sequences Ostaszewski square O-space Sigma-Prikry Subadditive weak Kurepa tree Almost Souslin Commutative cancellative semigroups Small forcing ZFC construction Slim tree Subtle tree property Ramsey theory over partitions Strong coloring Ascent Path Weakly compact cardinal Non-saturation Axiom R Singular Density Sierpinski's onto mapping principle Precaliber diamond star Microscopic Approach higher Baire space
Tag Archives: stationary reflection
Openly generated Boolean algebras and the Fodor-type reflection principle
Joint work with Sakaé Fuchino. Abstract: We prove that the Fodor-type Reflection Principle (FRP) is equivalent to the assertion that any Boolean algebra is openly generated if and only if it is
Posted in Compactness, Publications
Tagged 03E35, 03E55, 03E65, 03E75, 03G05, 06E05, Axiom R, Fodor-type reflection, free Boolean algebra, projective Boolean algebra, Shelah's Strong Hypothesis, stationary reflection
Comments Off on Openly generated Boolean algebras and the Fodor-type reflection principle
The failure of diamond on a reflecting stationary set
Joint work with Moti Gitik. Abstract: It is shown that the failure of
A relative of the approachability ideal, diamond and non-saturation
Abstract: Let
