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