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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

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

# 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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