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Strongly Luzin set Subadditive Square-Brackets Partition Relations Small forcing Open Access Intersection model square Reduced Power free Souslin tree Selective Ultrafilter regressive Souslin tree Diamond Almost-disjoint family sap Vanishing levels Dushnik-Miller Greatly Mahlo SNR OCA Weakly compact cardinal Postprocessing function Large Cardinals Ascent Path Diamond for trees polarized partition relation Sierpinski's onto mapping principle free Boolean algebra PFA Reflecting stationary set HOD Minimal Walks approachability ideal PFA(S)[S] countably metacompact Cardinal Invariants Uniformization weak square S-Space Knaster and friends tensor product graph Singular Density specializable Souslin tree projective Boolean algebra Ostaszewski square Filter reflection Forcing Axioms Prikry-type forcing P-Ideal Dichotomy Mandelbrot set ZFC construction Respecting tree Chromatic number Rock n' Roll Parameterized proxy principle indecomposable ultrafilter O-space Analytic sets Coherent tree Subtle tree property Cardinal function Whitehead Problem Countryman line Commutative projection system L-space higher Baire space transformations weak Kurepa tree Was Ulam right? club_AD Successor of Regular Cardinal Martin's Axiom Commutative cancellative semigroups b-scale xbox Amenable C-sequence Strong coloring Prevalent singular cardinals Closed coloring Precaliber C-sequence Poset Ulam matrix Axiom R Jonsson cardinal Subnormal ideal Forcing Microscopic Approach Fat stationary set Almost countably chromatic incompactness Absoluteness Kurepa Hypothesis Uniformly homogeneous Diamond-sharp Uniformly coherent Almost Souslin Successor of Singular Cardinal Club Guessing Fodor-type reflection Nonspecial tree Erdos-Hajnal graphs Fast club ccc positive partition relation Generalized descriptive set theory stationary hitting Cohen real Knaster weak diamond Singular cardinals combinatorics Generalized Clubs diamond star Souslin Tree square principles full tree nonmeager set Aronszajn tree unbounded function Iterated forcing Slim tree strongly bounded groups Subtle cardinal Sakurai's Bell inequality Ramsey theory over partitions Antichain stationary reflection Hereditarily Lindelöf space Hedetniemi's conjecture very good scale reflection principles Dowker space Luzin set AIM forcing Constructible Universe Non-saturation Rainbow sets Hindman's Theorem Singular cofinality middle diamond Distributive tree super-Souslin tree Erdos Cardinal Sigma-Prikry Chang's conjecture Shelah's Strong Hypothesis coloring number Rado's conjecture Local Club Condensation. Partition Relations stick GMA Foundations Universal Sequences Well-behaved magma Lipschitz reduction Ineffable cardinal 54G20 Strongly compact cardinal
Tag Archives: club_AD
A series of lectures on Club_AD, February–March 2023
As part of the Thematic Program on Set Theoretic Methods in Algebra, Dynamics and Geometry (Fields Institute, January–June, 2023), Spencer Unger and I delivered a Graduate Course on Set Theory, Algebra and Analysis. My part of the course was a … Continue reading
A new small Dowker space
Joint work with Roy Shalev and Stevo Todorcevic. Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or
MFO workshop in Set Theory, January 2022
I gave an invited talk at the Set Theory meeting in Obwerwolfach, January 2022. Talk Title: A dual of Juhasz’ question Abstract: Juhasz asked whether
Posted in Invited Talks
Tagged club_AD, Dowker space
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A guessing principle from a Souslin tree, with applications to topology
Joint work with Roy Shalev. Abstract. We introduce a new combinatorial principle which we call
Posted in Publications, Souslin Hypothesis, Topology
Tagged club_AD, Dowker space, O-space, regressive Souslin tree, S-Space, Souslin Tree, Vanishing levels
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