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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
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014
- Walk on countable ordinals: the characteristics December 1, 2013
- Polychromatic colorings November 26, 2013
- Universal binary sequences November 14, 2013

### Keywords

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

# 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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