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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

### Keywords

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

# 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