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PFA(S)[S] Jonsson cardinal Subtle cardinal Ostaszewski square Fat stationary set Singular cofinality Filter reflection projective Boolean algebra Partition Relations Sigma-Prikry super-Souslin tree Rainbow sets Hereditarily Lindelöf space Local Club Condensation. Iterated forcing higher Baire space Coherent tree Cardinal Invariants Nonspecial tree Greatly Mahlo Absoluteness Singular Density Amenable C-sequence Souslin Tree Strongly compact cardinal middle diamond Shelah's Strong Hypothesis Was Ulam right? OCA Luzin set Uniformly coherent Almost Souslin C-sequence Almost countably chromatic Entangled linear order Knaster Chromatic number club_AD coloring number specializable Souslin tree Minimal Walks Antichain xbox Analytic sets Closed coloring Uniformly homogeneous Fast club L-space polarized partition relation Ulam matrix Subnormal ideal incompactness indecomposable filter HOD Subtle tree property free Boolean algebra Commutative cancellative semigroups tensor product graph b-scale Successor of Regular Cardinal Cardinal function Monotonically far Microscopic Approach SNR Ramsey theory over partitions Chang's conjecture Subadditive Intersection model Uniformization Precaliber Singular cardinals combinatorics Reflecting stationary set Rock n' Roll Dushnik-Miller free Souslin tree Ineffable cardinal Slim tree Lipschitz reduction O-space Postprocessing function stationary reflection Axiom R Diamond reflection principles Whitehead Problem Small forcing Partition relations for trees Vanishing levels Prevalent singular cardinals Mandelbrot set Dowker space Weakly compact cardinal Forcing with side conditions approachability ideal 54G20 very good scale Poset Strongly Luzin set Sakurai's Bell inequality Forcing Universal Sequences sap GMA Sierpinski's onto mapping principle Square-Brackets Partition Relations Knaster and friends Club Guessing regressive Souslin tree stick diamond star perfectly normal P-Ideal Dichotomy Parameterized proxy principle Aronszajn tree Rado's conjecture Generalized descriptive set theory weak diamond unbounded function Distributive tree positive partition relation nonmeager set Successor of Singular Cardinal Prikry-type forcing ccc Diamond-sharp weak Kurepa tree Constructible Universe Commutative projection system Generalized Clubs Diamond for trees countably metacompact Foundations square Forcing Axioms Non-saturation transformations Erdos Cardinal Strong coloring Countryman line S-Space Fodor-type reflection Ascent Path Almost-disjoint family strongly bounded groups Reduced Power Hedetniemi's conjecture Respecting tree Large Cardinals Kurepa Hypothesis full tree Martin's Axiom Interval topology on trees square principles weak square Hindman's Theorem Erdos-Hajnal graphs Ascending path PFA stationary hitting ZFC construction Well-behaved magma AIM forcing Open Access Selective Ultrafilter Cohen real
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
