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