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

# 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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