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- Happy new jewish year! September 24, 2014
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- Partitioning the club guessing January 22, 2014
- Walk on countable ordinals: the characteristics December 1, 2013
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- Syndetic colorings with applications to S and L October 26, 2013
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### Keywords

Foundations Mandelbrot set Whitehead Problem very good scale S-Space Poset weak diamond PFA diamond star approachability ideal Square-Brackets Partition Relations Knaster Constructible Universe Club Guessing weak square tensor product graph Absoluteness Forcing Small forcing Cohen real stationary hitting b-scale Successor of Singular Cardinal Hedetniemi's conjecture Diamond Uniformization polarized partition relation Almost-disjoint famiy Non-saturation middle diamond Antichain Erdos Cardinal sap Rado's conjecture Successor of Regular Cardinal Universal Sequences L-space Chromatic number Singular Cofinality Rock n' Roll Singular cardinals combinatorics Hereditarily Lindelöf space Ostaszewski square stationary reflection Cardinal Invariants Minimal Walks Axiom R Forcing Axioms Weakly compact cardinal Large Cardinals Prevalent singular cardinals ccc Cardinal function Generalized Clubs free Boolean algebra Sakurai's Bell inequality Singular Density Rainbow sets square Partition Relations Dushnik-Miller Martin's Axiom Aronszajn tree reflection principles P-Ideal Dichotomy Almost countably chromatic incompactness Erdos-Hajnal graphs Kurepa Hypothesis PFA(S)[S] projective Boolean algebra OCA Prikry-type forcing Souslin Tree Shelah's Strong Hypothesis

# Tag Archives: 03E55

## Openly generated Boolean algebras and the Fodor-type reflection principle

Joint work with Sakaé Fuchino. Abstract: We prove that the Fodor-type Reflection Principle (FRP) is equivalent to the assertion that any Boolean algebra is openly generated if and only if it is $\aleph _2$-projective. Previously it was known that this … Continue reading

## 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

Posted in Publications
Tagged 03E04, 03E05, 03E45, 03E55, 03E65, Large Cardinals, Poset, Shelah's Strong Hypothesis, Singular Cofinality, Singular Density
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