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Fat stationary set Non-saturation Foundations Successor of Singular Cardinal Minimal Walks Local Club Condensation. free Souslin tree Cardinal Invariants Fodor-type reflection Diamond Erdos Cardinal Universal Sequences b-scale Whitehead Problem Sakurai's Bell inequality Dowker space Luzin set Coherent tree Slim tree Ulam matrix Fast club Small forcing Strong coloring Diamond-sharp ZFC construction L-space Souslin Tree Sierpinski's onto mapping principle Knaster incompactness Hindman's Theorem O-space Filter reflection weak Kurepa tree Jonsson cardinal Axiom R Constructible Universe specializable Souslin tree Commutative cancellative semigroups Chromatic number Antichain Commutative projection system Diamond for trees Almost Souslin Hereditarily Lindelöf space positive partition relation club_AD Successor of Regular Cardinal Partition Relations projective Boolean algebra Reflecting stationary set Uniformly homogeneous Iterated forcing tensor product graph Mandelbrot set approachability ideal Forcing Square-Brackets Partition Relations indecomposable ultrafilter reflection principles P-Ideal Dichotomy Intersection model Respecting tree Chang's conjecture Erdos-Hajnal graphs Amenable C-sequence transformations S-Space regressive Souslin tree Subtle tree property nonmeager set Subtle cardinal Well-behaved magma GMA higher Baire space Dushnik-Miller diamond star free Boolean algebra Uniformization ccc Rado's conjecture strongly bounded groups Greatly Mahlo Rainbow sets Precaliber Poset Lipschitz reduction Aronszajn tree Was Ulam right Microscopic Approach Cohen real Countryman line Strongly Luzin set Ramsey theory over partitions Hedetniemi's conjecture Weakly compact cardinal Subadditive Forcing Axioms stationary reflection Knaster and friends square Uniformly coherent 54G20 xbox C-sequence weak diamond Rock n' Roll Generalized descriptive set theory Selective Ultrafilter unbounded function Large Cardinals Ostaszewski square Sigma-Prikry Singular cofinality Shelah's Strong Hypothesis PFA(S)[S] stationary hitting coloring number Singular cardinals combinatorics Analytic sets Strongly compact cardinal Closed coloring square principles Kurepa Hypothesis Open Access Subnormal ideal stick Vanishing levels Absoluteness Parameterized proxy principle countably metacompact Postprocessing function Distributive tree Ascent Path SNR Almost countably chromatic weak square Cardinal function Martin's Axiom middle diamond sap HOD PFA Ineffable cardinal Generalized Clubs OCA Nonspecial tree Prikry-type forcing Singular Density super-Souslin tree very good scale Prevalent singular cardinals Club Guessing full tree Almost-disjoint family polarized partition relation Reduced Power AIM forcing
Tag Archives: Cardinal function
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
Infinite Combinatorial Topology
Back in 2005, as a master student, I attended a course by Boaz Tsaban, entitled “Infinite Combinatorial Topology”. A friend and I decided to produce lecture notes, but in a somewhat loose sense, that is: we sometimes omit material given … Continue reading
Posted in Notes
Tagged b-scale, Cardinal function, Cardinal Invariants, Hereditarily Lindelöf space
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