18 citations · 47 across the 13 of their papers we have counts for
7 papers · 1 filter
On regulated partitions
Su Gao, Steve Jackson
This paper considers the combinatorics of continuous and Borel rectangular partitions of free actions of on -dimensional Polish spaces, specifically the free part…
Descriptive complexity in Cantor series
Dylain Airey, Steve Jackson, Bill Mance
A Cantor series expansion for a real number with respect to a basic sequence , where , is a representation of the form $x=a_0 + \sum_{i=1}^\infty…
Continuous Combinatorics of Abelian Group Actions
Su Gao, Steve Jackson, Edward Krohne +1
This paper develops techniques which are used to answer a number of questions in the theory of equivalence relations generated by continuous actions of abelian groups. The methods…
Hyperfiniteness and Borel combinatorics
Clinton Conley, Steve Jackson, Andrew Marks +2
We study the relationship between hyperfiniteness and problems in Borel graph combinatorics by adapting game-theoretic techniques introduced by Marks to the hyperfinite setting. We…
Some complexity results in the theory of normal numbers
Dylan Airey, Bill Mance, Steve Jackson
Let be the set of real numbers which are normal to base . A well-known result of H. Ki and T. Linton is that is -complete. We…
Forcing constructions and countable Borel equivalence relations
Su Gao, Steve Jackson, Edward Krohne +1
We prove a number of results about countable Borel equivalence relations with forcing constructions and arguments. These results reveal hidden regularity properties of Borel comple…