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Ostaszewski square Poset Commutative projection system transformations stationary reflection Antichain OCA Nonspecial tree Almost countably chromatic Singular cardinals combinatorics Slim tree square Almost Souslin very good scale Weakly compact cardinal Chang's conjecture Precaliber diamond star Entangled linear order projective Boolean algebra Partition Relations PFA(S)[S] Subtle tree property Rado's conjecture positive partition relation Universal Sequences Selective Ultrafilter incompactness Constructible Universe L-space Vanishing levels weak Kurepa tree Fodor-type reflection club_AD indecomposable filter approachability ideal Distributive tree Successor of Regular Cardinal Uniformization ccc Well-behaved magma countably metacompact stationary hitting Dowker space Hedetniemi's conjecture Sakurai's Bell inequality middle diamond Intersection model perfectly normal Countryman line coloring number Large Cardinals Sierpinski's onto mapping principle unbounded function weak square stick Luzin set Strongly Luzin set SNR Diamond Diamond-sharp AIM forcing Fat stationary set S-Space GMA Lipschitz reduction Strong coloring Rainbow sets Microscopic Approach Prevalent singular cardinals Iterated forcing Local Club Condensation. sap Knaster Aronszajn tree Forcing Was Ulam right? Singular Density reflection principles Cardinal function Amenable C-sequence Sigma-Prikry Forcing Axioms Analytic sets Singular cofinality Chromatic number xbox Minimal Walks Cohen real Fast club Generalized Clubs Parameterized proxy principle C-sequence Interval topology on trees Closed coloring 54G20 free Boolean algebra Small forcing Subtle cardinal Martin's Axiom Jonsson cardinal Erdos Cardinal Reflecting stationary set Almost-disjoint family full tree Foundations strongly bounded groups Diamond for trees super-Souslin tree Greatly Mahlo Filter reflection Hindman's Theorem Coherent tree Prikry-type forcing Respecting tree Forcing with side conditions Axiom R Uniformly coherent HOD Shelah's Strong Hypothesis Knaster and friends free Souslin tree Club Guessing Subnormal ideal nonmeager set Successor of Singular Cardinal ZFC construction Monotonically far Subadditive specializable Souslin tree Dushnik-Miller Commutative cancellative semigroups Reduced Power weak diamond b-scale Hereditarily Lindelöf space Mandelbrot set Ulam matrix tensor product graph Postprocessing function PFA Erdos-Hajnal graphs regressive Souslin tree Ineffable cardinal Ramsey theory over partitions Non-saturation Absoluteness Whitehead Problem Ascending path Cardinal Invariants P-Ideal Dichotomy square principles higher Baire space Rock n' Roll O-space Square-Brackets Partition Relations Ascent Path Strongly compact cardinal Generalized descriptive set theory Open Access polarized partition relation Uniformly homogeneous Kurepa Hypothesis Souslin Tree
Tag Archives: stick
Strongest transformations
Joint work with Jing Zhang. Abstract. We continue our study of maps transforming high-dimensional complicated objects into squares of stationary sets. Previously, we proved that many such transformations exist in ZFC, and here we address the consistency of the strongest … Continue reading
Posted in Partition Relations, Publications
Tagged Diamond, Minimal Walks, square, Square-Brackets Partition Relations, stick, transformations, xbox
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Polychromatic colorings
These are lectures notes of two talks Dani Livne gave in our Infinite Combinatorics seminar. I did not take notes in real-time, hence, all possible mistakes here are due to myself. Recall that a function $f:A\rightarrow B$ is said to … Continue reading
