Archives
Keywords
Non-saturation unbounded function Reflecting stationary set Souslin Tree Filter reflection AIM forcing Singular Density SNR diamond star weak square Subtle cardinal Parameterized proxy principle b-scale Well-behaved magma Successor of Regular Cardinal Uniformly homogeneous Subtle tree property Chang's conjecture Cardinal function Ascent Path ccc Mandelbrot set Rainbow sets Minimal Walks strongly bounded groups regressive Souslin tree PFA Poset weak diamond Kurepa Hypothesis Cohen real Hedetniemi's conjecture Knaster and friends P-Ideal Dichotomy Club Guessing Hereditarily Lindelöf space club_AD polarized partition relation Aronszajn tree Generalized Clubs Singular cardinals combinatorics Forcing Almost Souslin projective Boolean algebra Dowker space Slim tree Strong coloring Lipschitz reduction Sakurai's Bell inequality Knaster Greatly Mahlo Ramsey theory over partitions Vanishing levels Hindman's Theorem stationary hitting Diamond-sharp Precaliber Square-Brackets Partition Relations Sigma-Prikry positive partition relation Small forcing Dushnik-Miller Subadditive Forcing Axioms Cardinal Invariants Martin's Axiom Uniformly coherent Open Access stick specializable Souslin tree L-space Rock n' Roll free Boolean algebra transformations Commutative cancellative semigroups Foundations Diamond Prikry-type forcing incompactness square principles Jonsson cardinal S-Space reflection principles Singular cofinality C-sequence Ineffable cardinal sap Chromatic number countably metacompact Analytic sets Was Ulam right Universal Sequences Absoluteness Fast club Distributive tree Almost-disjoint family Partition Relations Selective Ultrafilter Weakly compact cardinal approachability ideal stationary reflection super-Souslin tree Successor of Singular Cardinal Microscopic Approach Nonspecial tree coloring number free Souslin tree Closed coloring GMA ZFC construction xbox weak Kurepa tree Ostaszewski square Shelah's Strong Hypothesis Luzin set Uniformization Rado's conjecture Postprocessing function indecomposable ultrafilter Fodor-type reflection Whitehead Problem nonmeager set Amenable C-sequence Subnormal ideal very good scale Large Cardinals Coherent tree higher Baire space Prevalent singular cardinals Generalized descriptive set theory Erdos-Hajnal graphs Antichain 54G20 OCA full tree O-space Reduced Power Sierpinski's onto mapping principle HOD Almost countably chromatic Strongly Luzin set Diamond for trees Fat stationary set middle diamond square Iterated forcing tensor product graph Erdos Cardinal Axiom R Local Club Condensation. Ulam matrix PFA(S)[S] Constructible Universe
Tag Archives: Antichain
Logic in Hungary, August 2005
These are the slides of a contributed talk given at the Logic in Hungary 2005 meeting (Budapest, 5–11 August 2005). Talk Title: On the consistency strength of the Milner-Sauer Conjecture Abstract: In their paper from 1981, after learning about Pouzet‘s theorem that any … Continue reading
Posted in Contributed Talks
Tagged Antichain, Shelah's Strong Hypothesis, Singular cofinality
Leave a comment
Antichains in partially ordered sets of singular cofinality
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The main result of of this … Continue reading
Posted in Publications, Singular Cardinals Combinatorics
Tagged 03E04, 03E35, 06A07, Antichain, Poset, Singular cofinality
Leave a comment