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Vanishing levels Ascent Path 54G20 Prevalent singular cardinals Weakly compact cardinal Uniformization C-sequence Was Ulam right Minimal Walks weak diamond Diamond Parameterized proxy principle Successor of Regular Cardinal Open Access Hedetniemi's conjecture Club Guessing Strongly Luzin set free Boolean algebra Singular cofinality Precaliber Chang's conjecture coloring number Intersection model specializable Souslin tree Filter reflection stick Slim tree Martin's Axiom nonmeager set Uniformly coherent OCA Generalized descriptive set theory Hindman's Theorem Large Cardinals Axiom R Cohen real sap positive partition relation ccc regressive Souslin tree polarized partition relation Poset Lipschitz reduction Forcing Axioms stationary reflection Rado's conjecture Fat stationary set Knaster Generalized Clubs higher Baire space Subtle tree property Respecting tree square principles Selective Ultrafilter countably metacompact Sakurai's Bell inequality L-space Iterated forcing Almost countably chromatic Aronszajn tree Erdos Cardinal club_AD Greatly Mahlo Shelah's Strong Hypothesis PFA Antichain Rock n' Roll Non-saturation Mandelbrot set Reduced Power Subtle cardinal Prikry-type forcing Postprocessing function Fodor-type reflection S-Space Subadditive P-Ideal Dichotomy Kurepa Hypothesis Nonspecial tree Jonsson cardinal Fast club Knaster and friends Ulam matrix Absoluteness free Souslin tree GMA diamond star Subnormal ideal Cardinal function Sierpinski's onto mapping principle indecomposable ultrafilter stationary hitting Erdos-Hajnal graphs SNR HOD Analytic sets Coherent tree very good scale Ineffable cardinal Diamond-sharp PFA(S)[S] middle diamond Forcing ZFC construction Reflecting stationary set O-space Singular Density Strongly compact cardinal Microscopic Approach xbox Foundations transformations Almost-disjoint family Dowker space Countryman line weak Kurepa tree Partition Relations Well-behaved magma Distributive tree approachability ideal Universal Sequences Dushnik-Miller incompactness AIM forcing Closed coloring unbounded function Ramsey theory over partitions Diamond for trees Rainbow sets square Hereditarily Lindelöf space super-Souslin tree Sigma-Prikry Local Club Condensation. Small forcing Commutative cancellative semigroups full tree Chromatic number Strong coloring Constructible Universe Almost Souslin reflection principles tensor product graph Uniformly homogeneous Cardinal Invariants Luzin set Souslin Tree Amenable C-sequence strongly bounded groups b-scale Square-Brackets Partition Relations Ostaszewski square Commutative projection system weak square Singular cardinals combinatorics Successor of Singular Cardinal Whitehead Problem projective Boolean algebra
Tag Archives: higher Baire space
Fake Reflection
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. We introduce a generalization of stationary set reflection which we call filter reflection, and show it is compatible with the axiom of constructibility as well as with strong forcing axioms. We … Continue reading
Inclusion modulo nonstationary
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. A classical theorem of Hechler asserts that the structure $\left(\omega^\omega,\le^*\right)$ is universal in the sense that for any $\sigma$-directed poset $\mathbb P$ with no maximal element, there is a ccc forcing … Continue reading
