Diamond embeddings into the enumeration degrees

  • Authors:

  • Andrea Sorbi;Guohua Wu;Yue Yang

  • Affiliations:

  • Department of mathematics and computer science ‘roberto magari’, university of siena, 53100 siena, italy email: sorbi@unisi.it url: ...;Division of mathematical sciences, school of physical and mathematical sciences, nanyang technological university, 637371 singapore email: guohua@ntu.edu.sg url: http://www.math.math.nus ...

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2010

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Abstract

We show that the diamond lattice can be embedded into the Σ02 enumeration degrees preserving 0 and 1, with atoms one high and Π01, and the other one low.