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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

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

# 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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