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- 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
- Syndetic colorings with applications to S and L October 26, 2013
- Open coloring and the cardinal invariant $\mathfrak b$ October 8, 2013
- Gabriel Belachsan (14/5/1976 – 20/8/2013) August 20, 2013

### Keywords

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

# 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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