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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

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

# 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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