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