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- A strong form of König’s lemma October 21, 2017
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- The reflection principle $R_2$ May 20, 2016
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- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
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Universal Sequences super-Souslin tree free Boolean algebra Coherent tree Cohen real Ostaszewski square Erdos-Hajnal graphs P-Ideal Dichotomy Sakurai's Bell inequality Chromatic number Large Cardinals Fodor-type reflection Partition Relations Souslin Tree Weakly compact cardinal Forcing 11P99 approachability ideal square Knaster PFA Small forcing Ascent Path Reduced Power Rado's conjecture Chang's conjecture L-space Fast club Poset middle diamond Hedetniemi's conjecture Prevalent singular cardinals projective Boolean algebra square principles very good scale Whitehead Problem Absoluteness Commutative cancellative semigroups Distributive tree Rock n' Roll Singular cardinals combinatorics Jonsson cardinal Stevo Todorcevic Square-Brackets Partition Relations Aronszajn tree Almost Souslin Dushnik-Miller Rainbow sets Uniformization Singular Density Almost countably chromatic Diamond Forcing Axioms Erdos Cardinal Cardinal Invariants stationary hitting weak diamond HOD Nonspecial tree ccc Parameterized proxy principle Hindman's Theorem Fat stationary set PFA(S)[S] 20M14 Kurepa Hypothesis coloring number xbox diamond star Prikry-type forcing Generalized Clubs b-scale polarized partition relation Hereditarily Lindelöf space Antichain Foundations Uniformly coherent Mandelbrot set Martin's Axiom Minimal Walks S-Space Microscopic Approach Luzin set Successor of Singular Cardinal Almost-disjoint famiy Postprocessing function Axiom R Club Guessing tensor product graph incompactness Constructible Universe Shelah's Strong Hypothesis Successor of Regular Cardinal 05A17 Selective Ultrafilter weak square Singular coﬁnality OCA Cardinal function sap Non-saturation reflection principles Slim tree stationary reflection

# 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