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