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

# 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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