Turing degrees of reals of positive effective packing dimension

  • Authors:
  • Rod Downey;Noam Greenberg

  • Affiliations:
  • School of Mathematics, Statistics and Computer Science, Victoria University, P.O. Box 600, Wellington, New Zealand;School of Mathematics, Statistics and Computer Science, Victoria University, P.O. Box 600, Wellington, New Zealand

  • Venue:
  • Information Processing Letters
  • Year:
  • 2008

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Abstract

A relatively longstanding question in algorithmic randomness is Jan Reimann's question whether there is a Turing cone of broken dimension. That is, is there a real A such that {B:B=