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