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Rock n' Roll Ineffable cardinal C-sequence Partition Relations Well-behaved magma Chromatic number Coherent tree specializable Souslin tree Selective Ultrafilter Rainbow sets SNR Mandelbrot set Respecting tree Filter reflection Commutative cancellative semigroups Hereditarily Lindelöf space OCA Singular cardinals combinatorics Local Club Condensation. PFA(S)[S] Small forcing weak square Strong coloring Ulam matrix Subtle cardinal Hedetniemi's conjecture Jonsson cardinal stationary hitting Large Cardinals very good scale Amenable C-sequence Parameterized proxy principle Lipschitz reduction Strongly compact cardinal Entangled linear order Universal Sequences Successor of Singular Cardinal Ascent Path Knaster Singular cofinality free Souslin tree S-Space Cardinal function Square-Brackets Partition Relations Fast club Almost-disjoint family Knaster and friends diamond star Almost Souslin Hindman's Theorem Was Ulam right? AIM forcing Postprocessing function Almost countably chromatic regressive Souslin tree Diamond for trees Subadditive stick countably metacompact Uniformly coherent Non-saturation Uniformly homogeneous Interval topology on trees Strongly Luzin set Forcing Axioms b-scale Dushnik-Miller Singular Density Reflecting stationary set higher Baire space Generalized Clubs polarized partition relation xbox stationary reflection Constructible Universe Antichain sap Ostaszewski square full tree Vanishing levels Aronszajn tree Uniformization Closed coloring Poset Diamond-sharp Minimal Walks projective Boolean algebra Subtle tree property Rado's conjecture Analytic sets P-Ideal Dichotomy Reduced Power Fodor-type reflection weak Kurepa tree Souslin Tree Forcing Distributive tree Iterated forcing strongly bounded groups Kurepa Hypothesis club_AD Erdos Cardinal Whitehead Problem Club Guessing Cohen real PFA Chang's conjecture Generalized descriptive set theory Slim tree Sakurai's Bell inequality Ascending path Greatly Mahlo Open Access Countryman line incompactness Partition relations for trees Luzin set Sierpinski's onto mapping principle reflection principles weak diamond Nonspecial tree square Forcing with side conditions nonmeager set Sigma-Prikry ZFC construction approachability ideal Erdos-Hajnal graphs transformations HOD Subnormal ideal Precaliber GMA Absoluteness tensor product graph Prikry-type forcing Intersection model Ramsey theory over partitions Monotonically far unbounded function Shelah's Strong Hypothesis Cardinal Invariants 54G20 Weakly compact cardinal Commutative projection system Axiom R Fat stationary set square principles Successor of Regular Cardinal L-space Diamond coloring number perfectly normal indecomposable filter free Boolean algebra Martin's Axiom O-space super-Souslin tree Microscopic Approach Dowker space middle diamond positive partition relation Foundations Prevalent singular cardinals ccc
Tag Archives: Diamond-sharp
Fake Reflection
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. We introduce a generalization of stationary set reflection which we call filter reflection, and show it is compatible with the axiom of constructibility as well as with strong forcing axioms. We … Continue reading
Inclusion modulo nonstationary
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. A classical theorem of Hechler asserts that the structure $\left(\omega^\omega,\le^*\right)$ is universal in the sense that for any $\sigma$-directed poset $\mathbb P$ with no maximal element, there is a ccc forcing … Continue reading
50 Years of Set Theory in Toronto, May 2019
I gave an invited talk at the 50 Years of Set Theory in Toronto meeting, Fields Institute for Research in Mathematical Sciences, May 2019. Talk Title: Analytic quasi-orders and two forms of diamond Abstract: We study Borel reduction of equivalence relations … Continue reading
Posted in Invited Talks
Tagged Analytic sets, Diamond-sharp, Generalized descriptive set theory
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