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Almost Souslin Universal Sequences Minimal Walks 54G20 Lipschitz reduction Whitehead Problem Knaster and friends C-sequence higher Baire space Was Ulam right? Uniformly homogeneous Martin's Axiom coloring number strongly bounded groups Successor of Singular Cardinal Axiom R weak diamond Diamond Well-behaved magma sap projective Boolean algebra Shelah's Strong Hypothesis Distributive tree OCA Erdos-Hajnal graphs specializable Souslin tree Jonsson cardinal Chromatic number Forcing Uniformly coherent Mandelbrot set Rado's conjecture reflection principles stick Ramsey theory over partitions Foundations Almost-disjoint family Ascent Path Small forcing Erdos Cardinal Square-Brackets Partition Relations ccc GMA Prevalent singular cardinals Cardinal function Dushnik-Miller L-space unbounded function Countryman line Aronszajn tree Large Cardinals Commutative projection system Closed coloring Nonspecial tree Strongly compact cardinal countably metacompact Greatly Mahlo Intersection model xbox HOD tensor product graph Kurepa Hypothesis middle diamond Dowker space Subnormal ideal Subtle tree property Successor of Regular Cardinal Subtle cardinal Forcing Axioms Reflecting stationary set Singular cofinality weak Kurepa tree Coherent tree stationary hitting Fodor-type reflection Non-saturation Partition Relations square principles Sigma-Prikry Weakly compact cardinal regressive Souslin tree super-Souslin tree O-space Selective Ultrafilter Knaster weak square b-scale positive partition relation Strongly Luzin set Sakurai's Bell inequality Local Club Condensation. Slim tree very good scale Strong coloring Vanishing levels Constructible Universe free Souslin tree Rainbow sets Poset Microscopic Approach ZFC construction Souslin Tree transformations indecomposable filter Generalized descriptive set theory Chang's conjecture Subadditive Uniformization free Boolean algebra Luzin set Filter reflection Cardinal Invariants Respecting tree Sierpinski's onto mapping principle AIM forcing PFA(S)[S] PFA Iterated forcing Parameterized proxy principle Singular Density Club Guessing Singular cardinals combinatorics Open Access Prikry-type forcing approachability ideal polarized partition relation full tree Analytic sets Hindman's Theorem Fast club Ineffable cardinal Diamond-sharp Antichain diamond star Ulam matrix Rock n' Roll P-Ideal Dichotomy Almost countably chromatic Cohen real Reduced Power incompactness Precaliber S-Space Hereditarily Lindelöf space nonmeager set Hedetniemi's conjecture stationary reflection Postprocessing function Generalized Clubs club_AD Ostaszewski square Commutative cancellative semigroups Diamond for trees SNR Absoluteness Amenable C-sequence square Fat stationary set
Tag Archives: 03E35
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
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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
On guessing generalized clubs at the successors of regulars
Abstract: Konig, Larson and Yoshinobu initiated the study of principles for guessing generalized clubs, and introduced a construction of an higher Souslin tree from the strong guessing principle. Complementary to the author’s work on the validity of diamond and non-saturation … Continue reading
Antichains in partially ordered sets of singular cofinality
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset
Posted in Publications, Singular Cardinals Combinatorics
Tagged 03E04, 03E35, 06A07, Antichain, Poset, Singular cofinality
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The Ostaszewski square, and homogeneous Souslin trees
Abstract: Assume GCH and let
Posted in Publications, Souslin Hypothesis, Squares and Diamonds
Tagged 03E05, 03E35, Club Guessing, Fat stationary set, Ostaszewski square, Souslin Tree
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