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