7 citations · 10 across the 13 of their papers we have counts for
16 papers
Galvin's Conjecture and Weakly Precipitous Ideals
Todd Eisworth
We investigate a combinatorial game on and show that mild large cardinal assumptions imply that every normal ideal on satisfies a weak version of precipitousness. As an…
On minimal non--scattered linear orders
Todd Eisworth, James Cummings, Justin Tatch Moore
The purpose of this article is to give new constructions of linear orders which are minimal with respect to being non--scattered. Specifically, we will show that Jensen's princi…
A note on the Revised GCH
Todd Eisworth
We give a proof of Theorem 2.10 from [8] that eliminates the use of Shelah's nice filters and associated rank functions, and instead uses only the well-foundedness of reduced produ…
The Pseudopower Dichotomy
Todd Eisworth
We investigate pseudopowers of singular cardinals, and show that deduce some consequences for cardinal arithmetic. For example, we show that in {\sf ZFC} that $$\cov(μ,μ,θ,σ)=\cov(…
Representability and Compactness for Pseudopowers
Todd Eisworth
We prove a compactness theorem for pseudopower operations of the form where . Our main tool is a result that has Shelah's cov vs. pp Th…
CH and the Moore-Mrowka Problem
Alan Dow, Todd Eisworth
We show that the Continuum Hypothesis is consistent with all regular spaces of hereditarily countable -character being C-closed. This gives us a model of ZFC in which the Contin…