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- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

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square principles Generalized Clubs P-Ideal Dichotomy projective Boolean algebra b-scale Whitehead Problem Knaster Large Cardinals Hindman's Theorem coloring number Mandelbrot set Ascent Path Luzin set Constructible Universe Foundations Non-saturation Small forcing Slim tree Fast club Parameterized proxy principle Poset middle diamond tensor product graph Prevalent singular cardinals diamond star square Almost countably chromatic Rainbow sets ccc Singular cardinals combinatorics free Boolean algebra Partition Relations sap Absoluteness Antichain Uniformly coherent L-space Weakly compact cardinal Rock n' Roll Axiom R Chromatic number Dushnik-Miller Cardinal function Ostaszewski square Erdos-Hajnal graphs Rado's conjecture Reduced Power Club Guessing Commutative cancellative semigroups very good scale incompactness 20M14 05A17 Cohen real Fodor-type reflection Cardinal Invariants Singular Density Fat stationary set Stevo Todorcevic PFA(S)[S] Sakurai's Bell inequality Distributive tree Kurepa Hypothesis Aronszajn tree PFA Hedetniemi's conjecture weak diamond stationary hitting super-Souslin tree Martin's Axiom Nonspecial tree Coherent tree Universal Sequences xbox Souslin Tree Hereditarily Lindelöf space Microscopic Approach stationary reflection reflection principles Selective Ultrafilter Almost-disjoint famiy Erdos Cardinal Chang's conjecture Forcing Prikry-type forcing S-Space Jonsson cardinal Uniformization Minimal Walks 11P99 Successor of Singular Cardinal Almost Souslin Successor of Regular Cardinal Singular coﬁnality OCA approachability ideal Diamond Square-Brackets Partition Relations Forcing Axioms Shelah's Strong Hypothesis Postprocessing function weak square polarized partition relation HOD

# Tag Archives: Prevalent singular cardinals

## 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

## Singular Cardinal Combinatorics and Inner Model Theory, March 2007

These are the slides of a talk given at the Singular Cardinal Combinatorics and Inner Model Theory conference (Gainesville, 5–9 March 2007). Talk Title: Antichains in partially ordered sets of singular cofinality Abstract: We say that a singular cardinal $\lambda$ is a prevalent singular … Continue reading

## Workshop on Set Theory and its Applications, February 2007

These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading