Steve Jackson

most citedDeterminacy and Jónsson cardinals in

L (R)

21 citations · 21 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2024

Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem

Sohail Farhangi, Steve Jackson, Bill Mance

We show that several sets of interest arising from the study of partition regularity and density Ramsey theory of polynomial equations over integral domains are undecidable. In par…

math.LO2024

Borel Combinatorics of Abelian Group Actions

Su Gao, Steve Jackson, Edward Krohne +1

We study the free part of the Bernoulli action of $Z^{n}$ for $n \geq 2$ and the Borel combinatorics of the associated Schreier graphs. We construct orthogonal decompositions…

math.LO2013★ 21 cited

Determinacy and Jónsson cardinals in $L (R)$

Steve Jackson, Richard Ketchersid, Farmer Schlutzenberg +1

Assume $ZF + AD + V = L (R)$ and let $κ < Θ$ be an uncountable cardinal. We show that $κ$ is Jónsson, and that if $cof (κ) = ω$ then $κ$ is Rowbottom. We al…

Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem

Borel Combinatorics of Abelian Group Actions

Determinacy and Jónsson cardinals in L(R)

Determinacy and Jónsson cardinals in $L (R)$