Archives
Keywords
Antichain Souslin Tree Luzin set Constructible Universe 54G20 super-Souslin tree Parameterized proxy principle free Boolean algebra Precaliber Club Guessing Open Access Filter reflection Countryman line Subnormal ideal Rainbow sets Local Club Condensation. Almost Souslin SNR O-space Ascending path Partition Relations Monotonically far higher Baire space Uniformly coherent Diamond unbounded function Intersection model Sakurai's Bell inequality Singular Density Rado's conjecture Ascent Path perfectly normal weak diamond ZFC construction Subtle cardinal S-Space polarized partition relation Chang's conjecture Forcing Mandelbrot set weak Kurepa tree Chromatic number PFA(S)[S] coloring number ccc P-Ideal Dichotomy Uniformization Amenable C-sequence Diamond for trees Strongly Luzin set Partition relations for trees xbox club_AD Erdos Cardinal Minimal Walks Strong coloring Martin's Axiom Whitehead Problem countably metacompact Forcing Axioms Subtle tree property sap OCA indecomposable filter Analytic sets Uniformly homogeneous stationary reflection Cardinal function Rock n' Roll Singular cardinals combinatorics Ineffable cardinal Hereditarily Lindelöf space Large Cardinals Hedetniemi's conjecture Almost countably chromatic Generalized descriptive set theory Slim tree Interval topology on trees Erdos-Hajnal graphs GMA Almost-disjoint family Fodor-type reflection Iterated forcing Jonsson cardinal Subadditive Prikry-type forcing Respecting tree L-space transformations regressive Souslin tree Nonspecial tree Was Ulam right? positive partition relation Reduced Power Microscopic Approach Non-saturation PFA Prevalent singular cardinals Successor of Regular Cardinal Dushnik-Miller reflection principles Successor of Singular Cardinal Knaster specializable Souslin tree Absoluteness Axiom R Aronszajn tree AIM forcing Sierpinski's onto mapping principle Kurepa Hypothesis very good scale Square-Brackets Partition Relations Singular cofinality Foundations stationary hitting Ramsey theory over partitions Entangled linear order full tree Postprocessing function Sigma-Prikry b-scale Coherent tree Ulam matrix Greatly Mahlo Fat stationary set tensor product graph C-sequence Generalized Clubs Cohen real Weakly compact cardinal Vanishing levels diamond star stick Selective Ultrafilter Hindman's Theorem free Souslin tree weak square square principles Reflecting stationary set Shelah's Strong Hypothesis nonmeager set middle diamond Knaster and friends square projective Boolean algebra Closed coloring Small forcing incompactness Poset Well-behaved magma approachability ideal Commutative projection system Cardinal Invariants Distributive tree HOD Diamond-sharp Fast club Universal Sequences Lipschitz reduction Forcing with side conditions strongly bounded groups Ostaszewski square Dowker space Strongly compact cardinal Commutative cancellative semigroups
Tag Archives: 06E05
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 $\aleph _2$-projective. Previously it was known that this … Continue reading
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