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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
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### Keywords

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