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