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