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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
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- Walk on countable ordinals: the characteristics December 1, 2013
- Polychromatic colorings November 26, 2013
- Universal binary sequences November 14, 2013

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

# 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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