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- 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
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### Keywords

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

# 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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