Archives
Keywords
Fast club Sigma-Prikry Successor of Singular Cardinal Erdos-Hajnal graphs Subadditive AIM forcing regressive Souslin tree Luzin set Aronszajn tree Subtle cardinal PFA(S)[S] Souslin Tree higher Baire space Large Cardinals Closed coloring stick Was Ulam right Singular Density Ulam matrix club_AD Precaliber Mandelbrot set reflection principles Forcing Axioms Almost countably chromatic Generalized descriptive set theory specializable Souslin tree O-space Reduced Power Singular cofinality weak diamond sap Ascent Path Square-Brackets Partition Relations Chang's conjecture Axiom R Forcing Diamond-sharp Lipschitz reduction polarized partition relation Universal Sequences Martin's Axiom Commutative cancellative semigroups Poset super-Souslin tree Sierpinski's onto mapping principle Open Access Amenable C-sequence Hereditarily Lindelöf space Whitehead Problem xbox Analytic sets ZFC construction Well-behaved magma b-scale Prevalent singular cardinals Minimal Walks OCA Jonsson cardinal Erdos Cardinal incompactness approachability ideal Dushnik-Miller Microscopic Approach Knaster Uniformly homogeneous free Boolean algebra Diamond Ramsey theory over partitions square principles nonmeager set 54G20 Uniformization Rado's conjecture Ostaszewski square Reflecting stationary set Successor of Regular Cardinal countably metacompact Singular cardinals combinatorics Club Guessing SNR Prikry-type forcing indecomposable ultrafilter Greatly Mahlo Knaster and friends Constructible Universe weak square S-Space stationary reflection Subnormal ideal Generalized Clubs GMA Postprocessing function Almost Souslin strongly bounded groups transformations projective Boolean algebra Cardinal Invariants Strongly Luzin set Slim tree Almost-disjoint family square Small forcing C-sequence Hedetniemi's conjecture Diamond for trees PFA Sakurai's Bell inequality positive partition relation Iterated forcing coloring number HOD Ineffable cardinal Non-saturation unbounded function Fat stationary set Shelah's Strong Hypothesis Filter reflection Distributive tree Fodor-type reflection Rock n' Roll L-space Antichain Coherent tree diamond star Foundations Strong coloring ccc Nonspecial tree free Souslin tree Cohen real tensor product graph Vanishing levels Cardinal function middle diamond stationary hitting Absoluteness Partition Relations P-Ideal Dichotomy very good scale Selective Ultrafilter Parameterized proxy principle Dowker space Kurepa Hypothesis Subtle tree property Local Club Condensation. Weakly compact cardinal Uniformly coherent Hindman's Theorem full tree Rainbow sets Chromatic number
Tag Archives: Singular Density
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
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The conjecture is consistent and known … Continue reading