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Erdos-Hajnal graphs free Souslin tree Luzin set OCA Ulam matrix Intersection model Local Club Condensation. Lipschitz reduction Hereditarily Lindelöf space Shelah's Strong Hypothesis Small forcing Universal Sequences positive partition relation sap incompactness Subtle tree property stationary hitting Martin's Axiom Reflecting stationary set Minimal Walks very good scale Kurepa Hypothesis Uniformly coherent stick Chang's conjecture full tree indecomposable ultrafilter Chromatic number free Boolean algebra Subnormal ideal Open Access Fodor-type reflection coloring number Ineffable cardinal Antichain SNR tensor product graph Strong coloring Iterated forcing Mandelbrot set Constructible Universe Diamond-sharp Commutative cancellative semigroups Rado's conjecture Almost-disjoint family Dowker space Whitehead Problem Knaster and friends higher Baire space Successor of Regular Cardinal Well-behaved magma Reduced Power b-scale Sierpinski's onto mapping principle projective Boolean algebra Prikry-type forcing PFA(S)[S] stationary reflection weak square Almost countably chromatic Fast club Axiom R strongly bounded groups Fat stationary set Ostaszewski square reflection principles Was Ulam right? PFA Singular cofinality Cohen real Cardinal Invariants S-Space Singular cardinals combinatorics approachability ideal Uniformization transformations Uniformly homogeneous Greatly Mahlo Almost Souslin Ascent Path Countryman line Generalized descriptive set theory O-space Non-saturation Diamond for trees Rainbow sets Dushnik-Miller diamond star Sigma-Prikry Diamond middle diamond Selective Ultrafilter Subtle cardinal super-Souslin tree Forcing specializable Souslin tree xbox GMA nonmeager set Coherent tree ZFC construction Sakurai's Bell inequality countably metacompact Absoluteness Weakly compact cardinal Ramsey theory over partitions Cardinal function Subadditive Aronszajn tree Square-Brackets Partition Relations Souslin Tree Slim tree Amenable C-sequence Parameterized proxy principle square principles Hedetniemi's conjecture Microscopic Approach P-Ideal Dichotomy Rock n' Roll regressive Souslin tree Erdos Cardinal HOD Analytic sets Successor of Singular Cardinal unbounded function Nonspecial tree Vanishing levels Forcing Axioms club_AD Poset weak Kurepa tree Foundations Strongly Luzin set Respecting tree Postprocessing function Large Cardinals Distributive tree AIM forcing Commutative projection system Jonsson cardinal C-sequence Prevalent singular cardinals Generalized Clubs Club Guessing Hindman's Theorem ccc Closed coloring Filter reflection polarized partition relation Precaliber weak diamond Partition Relations Knaster 54G20 L-space square Strongly compact cardinal Singular Density
Tag Archives: Open Access
Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a
Complicated colorings
Abstract. If
Posted in Partition Relations, Publications
Tagged Minimal Walks, Open Access, Square-Brackets Partition Relations
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Aspects of singular cofinality
Abstract. We study properties of closure operators of singular cofinality, and introduce several ZFC sufficient and equivalent conditions for the existence of antichain sequences in posets of singular cofinality. We also notice that the Proper Forcing Axiom implies the Milner-Sauer … Continue reading
On topological spaces of singular density and minimal weight
Abstract: We introduce a weakening of the Generalized Continuum Hypothesis, which we will refer to as the Prevalent Singular cardinals Hypothesis (PSH), and show it implies that every topological space of density and weight
A topological reflection principle equivalent to Shelah’s strong hypothesis
Abstract: We notice that Shelah’s Strong Hypothesis (SSH) is equivalent to the following reflection principle: Suppose
Posted in Compactness, Publications, Topology
Tagged 03E04, 03E65, 54G15, Open Access, Shelah's Strong Hypothesis
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The failure of diamond on a reflecting stationary set
Joint work with Moti Gitik. Abstract: It is shown that the failure of
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
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset
Transforming rectangles into squares, with applications to strong colorings
Abstract: It is proved that every singular cardinal
