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- Genearlizations 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
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- Walk on countable ordinals: the characteristics December 1, 2013
- Polychromatic colorings November 26, 2013
- Universal binary sequences November 14, 2013

### Keywords

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

# 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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