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Aronszajn tree Cardinal Invariants Partition relations for trees Strong coloring HOD Forcing with side conditions Respecting tree Singular cofinality Club Guessing Subtle cardinal Forcing Axioms Iterated forcing Commutative cancellative semigroups Large Cardinals Sierpinski's onto mapping principle Singular cardinals combinatorics stationary hitting full tree PFA Knaster Strongly compact cardinal O-space Sakurai's Bell inequality Distributive tree Jonsson cardinal polarized partition relation GMA weak Kurepa tree Amenable C-sequence Non-saturation sap Filter reflection club_AD Forcing Lipschitz reduction Rainbow sets Ascent Path Universal Sequences Absoluteness Erdos-Hajnal graphs b-scale projective Boolean algebra Almost Souslin Singular Density PFA(S)[S] Hindman's Theorem regressive Souslin tree transformations perfectly normal Uniformly coherent Subadditive Subnormal ideal square principles Foundations stationary reflection Countryman line Precaliber Poset free Boolean algebra Constructible Universe Subtle tree property Generalized Clubs Successor of Singular Cardinal P-Ideal Dichotomy Intersection model Antichain Almost countably chromatic Prikry-type forcing Ramsey theory over partitions Uniformly homogeneous Well-behaved magma Strongly Luzin set strongly bounded groups Dushnik-Miller Nonspecial tree Shelah's Strong Hypothesis AIM forcing Interval topology on trees Chromatic number Reduced Power Ascending path 54G20 Almost-disjoint family tensor product graph Knaster and friends L-space Fast club countably metacompact Was Ulam right? Generalized descriptive set theory specializable Souslin tree Commutative projection system C-sequence ZFC construction Analytic sets Diamond Slim tree weak square Diamond-sharp OCA Sigma-Prikry Square-Brackets Partition Relations Weakly compact cardinal Ineffable cardinal square higher Baire space Closed coloring Microscopic Approach Erdos Cardinal incompactness Successor of Regular Cardinal weak diamond Cohen real Reflecting stationary set Fodor-type reflection Selective Ultrafilter Rado's conjecture Axiom R Small forcing free Souslin tree approachability ideal Rock n' Roll SNR Entangled linear order Kurepa Hypothesis Uniformization Greatly Mahlo middle diamond super-Souslin tree Mandelbrot set Local Club Condensation. indecomposable filter Monotonically far Ulam matrix Diamond for trees Fat stationary set xbox Coherent tree very good scale Souslin Tree Cardinal function positive partition relation diamond star Luzin set Ostaszewski square Open Access ccc Partition Relations Martin's Axiom coloring number Chang's conjecture Postprocessing function Vanishing levels unbounded function Hedetniemi's conjecture Dowker space Prevalent singular cardinals Minimal Walks Hereditarily Lindelöf space reflection principles stick S-Space nonmeager set Parameterized proxy principle Whitehead Problem
Tag Archives: Prevalent singular cardinals
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 $\aleph_{\omega_1}$ is not hereditarily Lindelöf. The assumption … Continue reading
Singular Cardinal Combinatorics and Inner Model Theory, March 2007
These are the slides of a talk given at the Singular Cardinal Combinatorics and Inner Model Theory conference (Gainesville, 5–9 March 2007). Talk Title: Antichains in partially ordered sets of singular cofinality Abstract: We say that a singular cardinal $\lambda$ is a prevalent singular … Continue reading
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
