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