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