92 citations · 241 across the 21 of their papers we have counts for
4 papers · 1 filter
Forcing Axioms and the Continuum Hypothesis, part II: Transcending ω_1-sequences of real numbers
Justin Tatch Moore
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the Continuum Hypothesis. This answers a longstanding problem of…
Hindman's Theorem, Ellis's Lemma, and Thompson's group
Justin Tatch Moore
The purpose of this article is to formulate conjectural generalizations of Hindman's Theorem and Ellis's Lemma for nonassociative binary systems and relate them to the amenability…
Amenability and Ramsey Theory
Justin Tatch Moore
The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amena…
A note on Shavgulidze's papers concerning the amenability problem for Thompson's group
Justin Tatch Moore
This paper examines Shavgulidze's postings to the ArXiv and publications which concern his argument that Thompson's group F is amenable. In particular I list specific places where…