Archives
Keywords
countably metacompact unbounded function free Boolean algebra O-space PFA(S)[S] Singular cofinality Sierpinski's onto mapping principle GMA Diamond Sakurai's Bell inequality Forcing stick Fat stationary set Subadditive Was Ulam right incompactness Absoluteness Hedetniemi's conjecture Uniformly coherent Small forcing middle diamond xbox Subtle tree property Slim tree Axiom R Luzin set positive partition relation Reduced Power Weakly compact cardinal Rock n' Roll higher Baire space Souslin Tree transformations Reflecting stationary set Lipschitz reduction club_AD SNR Knaster Closed coloring Dushnik-Miller Ineffable cardinal Vanishing levels Aronszajn tree Shelah's Strong Hypothesis Ostaszewski square strongly bounded groups Selective Ultrafilter projective Boolean algebra Uniformly homogeneous b-scale stationary hitting Microscopic Approach HOD Diamond for trees Distributive tree Generalized Clubs Subnormal ideal Rainbow sets tensor product graph weak square L-space Uniformization super-Souslin tree indecomposable ultrafilter Amenable C-sequence Precaliber Singular cardinals combinatorics Large Cardinals Almost-disjoint family Well-behaved magma Postprocessing function Cardinal Invariants Cardinal function P-Ideal Dichotomy Fast club free Souslin tree Ascent Path Open Access Subtle cardinal Ramsey theory over partitions ZFC construction Greatly Mahlo coloring number full tree Ulam matrix Erdos Cardinal diamond star PFA 54G20 Parameterized proxy principle Poset specializable Souslin tree Martin's Axiom Forcing Axioms Club Guessing Singular Density Sigma-Prikry Mandelbrot set nonmeager set Kurepa Hypothesis Strong coloring Analytic sets Antichain Strongly Luzin set approachability ideal Universal Sequences Hereditarily Lindelöf space Whitehead Problem polarized partition relation Prevalent singular cardinals C-sequence Erdos-Hajnal graphs Coherent tree Constructible Universe Chang's conjecture Rado's conjecture Successor of Singular Cardinal Minimal Walks Hindman's Theorem weak Kurepa tree Almost Souslin reflection principles Jonsson cardinal sap S-Space weak diamond Dowker space square AIM forcing very good scale Diamond-sharp Nonspecial tree regressive Souslin tree Commutative cancellative semigroups Square-Brackets Partition Relations Filter reflection Fodor-type reflection Partition Relations OCA Non-saturation Foundations Knaster and friends Almost countably chromatic Local Club Condensation. Successor of Regular Cardinal Chromatic number Cohen real Iterated forcing stationary reflection square principles ccc Generalized descriptive set theory Prikry-type forcing
Tag Archives: Reduced Power
P.O.I. Workshop in pure and descriptive set theory, September 2015
I gave an invited talk at the P.O.I Workshop in pure and descriptive set theory, Torino, September 26, 2015. Title: $\aleph_3$-trees. Abstract: We inspect the constructions of four quite different $\aleph_3$-Souslin trees.
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