Archives
Keywords
Jonsson cardinal Cohen real Closed coloring polarized partition relation Diamond Countryman line Precaliber Subnormal ideal Erdos Cardinal Open Access Sakurai's Bell inequality countably metacompact O-space Entangled linear order weak square Partition relations for trees Uniformly coherent Shelah's Strong Hypothesis Cardinal function Cardinal Invariants Singular Density approachability ideal Chang's conjecture Rainbow sets projective Boolean algebra Sigma-Prikry Absoluteness diamond star Subadditive Erdos-Hajnal graphs Was Ulam right? stationary reflection Ascent Path Almost countably chromatic club_AD ZFC construction PFA Intersection model Successor of Singular Cardinal square Ascending path Almost Souslin Constructible Universe full tree Forcing Fodor-type reflection square principles HOD Local Club Condensation. Square-Brackets Partition Relations Slim tree Well-behaved magma Successor of Regular Cardinal Greatly Mahlo Uniformization Commutative projection system tensor product graph regressive Souslin tree Non-saturation Strongly compact cardinal Nonspecial tree Dushnik-Miller Ostaszewski square Ineffable cardinal Whitehead Problem strongly bounded groups Respecting tree Luzin set Singular cofinality Diamond-sharp Lipschitz reduction stationary hitting Ramsey theory over partitions xbox Knaster and friends Dowker space Chromatic number middle diamond Diamond for trees Sierpinski's onto mapping principle Subtle cardinal SNR Rock n' Roll Microscopic Approach coloring number C-sequence Weakly compact cardinal stick Knaster OCA Minimal Walks Amenable C-sequence Club Guessing Mandelbrot set Rado's conjecture Reduced Power Hindman's Theorem Selective Ultrafilter Poset Large Cardinals Filter reflection Generalized descriptive set theory Reflecting stationary set S-Space Antichain specializable Souslin tree Commutative cancellative semigroups reflection principles Forcing with side conditions Analytic sets Postprocessing function Hedetniemi's conjecture Generalized Clubs Strongly Luzin set Iterated forcing Souslin Tree Interval topology on trees free Souslin tree GMA Hereditarily Lindelöf space P-Ideal Dichotomy perfectly normal incompactness transformations AIM forcing Monotonically far Partition Relations Small forcing higher Baire space ccc Universal Sequences weak diamond very good scale Distributive tree Coherent tree Strong coloring Martin's Axiom free Boolean algebra Vanishing levels Kurepa Hypothesis unbounded function Singular cardinals combinatorics Axiom R L-space Forcing Axioms sap Foundations 54G20 weak Kurepa tree Subtle tree property super-Souslin tree Almost-disjoint family nonmeager set indecomposable filter Prevalent singular cardinals b-scale Fat stationary set Prikry-type forcing Fast club positive partition relation Ulam matrix Parameterized proxy principle Aronszajn tree PFA(S)[S] Uniformly homogeneous
Tag Archives: 05C05
A remark on Schimmerling’s question
Joint work with Ari Meir Brodsky. Abstract. Schimmerling asked whether $\square^*_\lambda$ together with GCH entails the existence of a $\lambda^+$-Souslin tree, for a singular cardinal $\lambda$. Here, we provide an affirmative answer under the additional assumption that there exists a … Continue reading
A microscopic approach to Souslin-tree constructions. Part I
Joint work with Ari Meir Brodsky. Abstract. We propose a parameterized proxy principle from which $\kappa$-Souslin trees with various additional features can be constructed, regardless of the identity of $\kappa$. We then introduce the microscopic approach, which is a simple … Continue reading
Posted in Publications, Souslin Hypothesis
Tagged 03E05, 03E35, 03E65, 05C05, Coherent tree, Diamond, Microscopic Approach, Parameterized proxy principle, Slim tree, Souslin Tree, square, xbox
5 Comments
Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a $\kappa$-Souslin tree $T$ and its reduced powers $T^\theta/\mathcal U$. Previous works addressed this problem from the viewpoint of a single power $\theta$, whereas here, tools are developed … Continue reading
