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