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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

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

# 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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