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