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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

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

# 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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