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- A strong form of König’s lemma October 21, 2017
- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014

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Fat stationary set Erdos-Hajnal graphs Aronszajn tree Club Guessing Weakly compact cardinal Hindman's Theorem Universal Sequences OCA Ostaszewski square reflection principles Square-Brackets Partition Relations diamond star Partition Relations PFA specializable Souslin tree 11P99 Almost-disjoint famiy Cardinal Invariants Successor of Regular Cardinal Hereditarily Lindelöf space sap Almost Souslin Distributive tree Generalized Clubs 05A17 Prevalent singular cardinals Luzin set Fodor-type reflection Hedetniemi's conjecture Non-saturation Kurepa Hypothesis Nonspecial tree polarized partition relation Mandelbrot set P-Ideal Dichotomy Forcing Whitehead Problem Foundations Almost countably chromatic Chang's conjecture Absoluteness HOD square Rainbow sets Rock n' Roll Chromatic number weak square L-space Coherent tree Dushnik-Miller S-Space stationary hitting xbox Ascent Path Reduced Power tensor product graph Selective Ultrafilter Small forcing Poset incompactness b-scale Sakurai's Bell inequality Jonsson cardinal Minimal Walks Erdos Cardinal Cohen real Slim tree Forcing Axioms Constructible Universe Uniformization projective Boolean algebra Singular coﬁnality Knaster PFA(S)[S] Fast club free Boolean algebra ccc middle diamond weak diamond Commutative cancellative semigroups square principles Parameterized proxy principle Axiom R Stevo Todorcevic Singular Density Rado's conjecture approachability ideal Diamond Microscopic Approach Prikry-type forcing coloring number super-Souslin tree Antichain Shelah's Strong Hypothesis free Souslin tree Uniformly coherent Cardinal function Singular cardinals combinatorics Large Cardinals Successor of Singular Cardinal Postprocessing function Martin's Axiom Souslin Tree stationary reflection very good scale

# 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
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## 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
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