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Forcing Fat stationary set Jonsson cardinal Commutative cancellative semigroups free Boolean algebra Reduced Power Dushnik-Miller Intersection model Subtle tree property Subadditive Diamond-sharp AIM forcing strongly bounded groups Filter reflection xbox Singular Density Luzin set Souslin Tree 54G20 Prevalent singular cardinals Cardinal Invariants stationary hitting weak square Non-saturation Sigma-Prikry Diamond for trees C-sequence weak diamond Ramsey theory over partitions PFA Successor of Regular Cardinal Generalized descriptive set theory Singular cardinals combinatorics Poset Entangled linear order Slim tree nonmeager set Interval topology on trees Lipschitz reduction unbounded function coloring number club_AD Amenable C-sequence Prikry-type forcing perfectly normal polarized partition relation Kurepa Hypothesis approachability ideal Ostaszewski square Uniformly homogeneous PFA(S)[S] Aronszajn tree Ascending path Hindman's Theorem Erdos Cardinal indecomposable filter Vanishing levels Successor of Singular Cardinal countably metacompact weak Kurepa tree Antichain full tree Minimal Walks Rock n' Roll ccc Knaster GMA incompactness stationary reflection Sierpinski's onto mapping principle Hedetniemi's conjecture free Souslin tree Erdos-Hajnal graphs Rado's conjecture Cohen real Forcing with side conditions Well-behaved magma S-Space Almost Souslin Nonspecial tree Commutative projection system Reflecting stationary set Coherent tree Constructible Universe Distributive tree Mandelbrot set Strong coloring middle diamond Selective Ultrafilter Chromatic number Dowker space Knaster and friends Small forcing Weakly compact cardinal Postprocessing function Axiom R Rainbow sets Cardinal function Chang's conjecture Uniformly coherent Subtle cardinal Sakurai's Bell inequality Was Ulam right? very good scale Universal Sequences Parameterized proxy principle Closed coloring O-space transformations Almost-disjoint family Uniformization Forcing Axioms Partition Relations Fast club Microscopic Approach Precaliber Shelah's Strong Hypothesis Large Cardinals Club Guessing Greatly Mahlo stick square principles Martin's Axiom Local Club Condensation. b-scale Diamond Iterated forcing Singular cofinality diamond star HOD Ascent Path SNR square sap Countryman line ZFC construction tensor product graph Foundations reflection principles Partition relations for trees Hereditarily Lindelöf space Generalized Clubs Strongly compact cardinal higher Baire space Ineffable cardinal P-Ideal Dichotomy Ulam matrix Monotonically far Open Access Almost countably chromatic Fodor-type reflection L-space Analytic sets Absoluteness Subnormal ideal Respecting tree regressive Souslin tree positive partition relation Strongly Luzin set specializable Souslin tree projective Boolean algebra Square-Brackets Partition Relations OCA super-Souslin tree Whitehead Problem
Author Archives: Assaf Rinot
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 $\aleph_{\omega_1}$ is not hereditarily Lindelöf. The assumption … Continue reading
Shelah’s solution to Whitehead’s problem
Whitehead problem notes in hebrew : Table of contents Chapter 0 Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12 References
CMS Winter Meeting, December 2011
I gave an invited special session talk at the 2011 meeting of the Canadian Mathematical Society. Talk Title: The extent of the failure of Ramsey’s theorem at successor cardinals. Abstract: We shall discuss the results of the following papers: Transforming … Continue reading
Posted in Invited Talks
Tagged Square-Brackets Partition Relations
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Young Researchers in Set Theory, March 2011
These are the slides of a talk I gave at the Young Researchers in Set Theory 2011 meeting (Königswinter, 21–25 March 2011). Talk Title: Around Jensen’s square principle Abstract: Jensen‘s square principle for a cardinal $\lambda$ asserts the existence of a particular ladder … Continue reading
The 11th International Workshop on Set Theory in Luminy
Posted in Invited Talks, Uncategorized
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