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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

### Keywords

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

Ace Billet Alan Mekler Albin L. Jones Alex Primavesi Alfred Tarski András Hajnal Benoit Mandelbrot Boban Velickovic Chen Meiri Chris Hadfield Ernest Schimmerling Fred Glavin Gabriel Belachsan Hiroshi Sakai Ilijas Farah Itay Neeman Jack Silver Jim Baumgartner John Krueger Judy Roitman Keith Devlin Menachem Magidor Mirna Dzamonja Moti Gitik Murray Bell Paul Erdős Paul Larson Richard Laver Ronald Jensen Saharon Shelah Sakaé Fuchino Stevo Todorcevic Teruyuki Yorioka Wacław Sierpiński

# Tag Archives: Generalized Clubs

## The failure of diamond on a reflecting stationary set

Joint work with Moti Gitik. Abstract: It is shown that the failure of $\diamondsuit_S$, for a subset $S\subseteq\aleph_{\omega+1}$ that reflects stationarily often, is consistent with GCH and $\text{AP}_{\aleph_\omega}$, relatively to the existence of a supercompact cardinal. This should be comapred with … Continue reading

## On guessing generalized clubs at the successors of regulars

Abstract: Konig, Larson and Yoshinobu initiated the study of principles for guessing generalized clubs, and introduced a construction of an higher Souslin tree from the strong guessing principle. Complementary to the author’s work on the validity of diamond and non-saturation … Continue reading