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- 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
- Partitioning the club guessing January 22, 2014

### Keywords

Hindman's Theorem approachability ideal Singular cardinals combinatorics Chromatic number Singular coﬁnality Ascent Path Partition Relations Almost-disjoint famiy Kurepa Hypothesis Forcing Almost Souslin Foundations Prikry-type forcing Square-Brackets Partition Relations Poset Sakurai's Bell inequality projective Boolean algebra Jonsson cardinal Rock n' Roll Shelah's Strong Hypothesis Absoluteness b-scale Fat stationary set Souslin Tree Mandelbrot set Knaster Cardinal function Generalized Clubs 11P99 Small forcing Antichain Slim tree S-Space reflection principles sap stationary reflection 05D10 Minimal Walks Universal Sequences polarized partition relation Distributive tree Reduced Power Successor of Regular Cardinal incompactness Prevalent singular cardinals xbox diamond star weak diamond Dushnik-Miller tensor product graph PFA(S)[S] middle diamond L-space Uniformly coherent Erdos-Hajnal graphs Cohen real Fast club Parameterized proxy principle ccc Rado's conjecture Luzin set Postprocessing function Chang's conjecture Constructible Universe Almost countably chromatic Whitehead Problem Hedetniemi's conjecture square principles Aronszajn tree Weakly compact cardinal Microscopic Approach coloring number Cardinal Invariants Non-saturation Successor of Singular Cardinal Rainbow sets Ostaszewski square OCA P-Ideal Dichotomy Stevo Todorcevic weak square free Boolean algebra Singular Density Diamond Coherent tree Uniformization Large Cardinals Fodor-type reflection 05A17 Hereditarily Lindelöf space 20M14 Selective Ultrafilter Martin's Axiom very good scale stationary hitting Club Guessing Forcing Axioms PFA Nonspecial tree HOD Commutative cancellative semigroups Axiom R square Erdos Cardinal

# 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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