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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

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

# 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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