Martin's conjecture and strong ergodicity

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this paper, we explore some of the consequences of Martin's Conjecture on degree invariant Borel maps. These include the strongest conceivable ergodicity result for the Turing equivalence relation with respect to the filter on the degrees generated by the cones, as well as the statement that the complexity of a weakly universal countable Borel equivalence relation always concentrates on a null set.

Original languageEnglish (US)
Pages (from-to)749-759
Number of pages11
JournalArchive for Mathematical Logic
Volume48
Issue number8
DOIs
StatePublished - Nov 2009

All Science Journal Classification (ASJC) codes

  • Philosophy
  • Logic

Keywords

  • Borel equivalence relation
  • Turing degree

Fingerprint

Dive into the research topics of 'Martin's conjecture and strong ergodicity'. Together they form a unique fingerprint.

Cite this