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Fat stationary set Iterated forcing Uniformly coherent Fast club Subnormal ideal Forcing Lipschitz reduction Rado's conjecture strongly bounded groups Almost Souslin xbox super-Souslin tree Singular cardinals combinatorics Diamond regressive Souslin tree Almost countably chromatic Axiom R Postprocessing function Analytic sets Antichain Ramsey theory over partitions tensor product graph unbounded function Cohen real GMA Rock n' Roll very good scale Luzin set Ostaszewski square Sigma-Prikry Greatly Mahlo Dushnik-Miller full tree Dowker space Chromatic number AIM forcing Ascent Path Hedetniemi's conjecture Strongly compact cardinal S-Space weak Kurepa tree Uniformly homogeneous polarized partition relation Foundations Almost-disjoint family Precaliber Reduced Power Kurepa Hypothesis club_AD Generalized descriptive set theory Fodor-type reflection b-scale diamond star Commutative projection system Microscopic Approach projective Boolean algebra Martin's Axiom incompactness Distributive tree Knaster and friends Vanishing levels Successor of Singular Cardinal Intersection model Slim tree Subtle cardinal SNR Parameterized proxy principle Constructible Universe Nonspecial tree Souslin Tree Small forcing Weakly compact cardinal Aronszajn tree square Local Club Condensation. Respecting tree O-space Subadditive square principles Amenable C-sequence Club Guessing Subtle tree property ZFC construction Chang's conjecture Universal Sequences Commutative cancellative semigroups Diamond-sharp Coherent tree weak diamond Successor of Regular Cardinal transformations specializable Souslin tree stick free Souslin tree Square-Brackets Partition Relations Prevalent singular cardinals Well-behaved magma Cardinal Invariants Cardinal function Ulam matrix stationary reflection PFA Partition Relations Erdos-Hajnal graphs HOD Countryman line Non-saturation Forcing Axioms higher Baire space stationary hitting OCA approachability ideal ccc Strongly Luzin set Filter reflection weak square nonmeager set Prikry-type forcing C-sequence Hindman's Theorem Selective Ultrafilter Generalized Clubs Sakurai's Bell inequality positive partition relation countably metacompact Jonsson cardinal coloring number Whitehead Problem sap Diamond for trees middle diamond Singular Density Sierpinski's onto mapping principle Strong coloring reflection principles Was Ulam right? Erdos Cardinal L-space Open Access Mandelbrot set Uniformization PFA(S)[S] Closed coloring Absoluteness Rainbow sets Knaster P-Ideal Dichotomy Shelah's Strong Hypothesis Poset 54G20 Large Cardinals Reflecting stationary set Minimal Walks Singular cofinality Hereditarily Lindelöf space indecomposable ultrafilter Ineffable cardinal free Boolean algebra
Tag Archives: 03E04
A cofinality-preserving small forcing may introduce a special Aronszajn tree
Extended Abstract: Shelah proved that Cohen forcing introduces a Souslin tree; Jensen proved that a c.c.c. forcing may consistently add a Kurepa tree; Todorcevic proved that a Knaster poset may already force the Kurepa hypothesis; Irrgang introduced a c.c.c. notion … Continue reading
Posted in Publications, Squares and Diamonds
Tagged 03E04, 03E05, 03E35, Aronszajn tree, Small forcing, Successor of Singular Cardinal, weak square
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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
A topological reflection principle equivalent to Shelah’s strong hypothesis
Abstract: We notice that Shelah’s Strong Hypothesis (SSH) is equivalent to the following reflection principle: Suppose
Posted in Compactness, Publications, Topology
Tagged 03E04, 03E65, 54G15, Open Access, Shelah's Strong Hypothesis
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The failure of diamond on a reflecting stationary set
Joint work with Moti Gitik. Abstract: It is shown that the failure of
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset
Antichains in partially ordered sets of singular cofinality
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset
Posted in Publications, Singular Cardinals Combinatorics
Tagged 03E04, 03E35, 06A07, Antichain, Poset, Singular cofinality
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