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