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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

### Keywords

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

# 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