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- A strong form of König’s lemma October 21, 2017
- 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

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

# 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