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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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- 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

### Keywords

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

# 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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