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Bulletin of the London Mathematical Society Advance Access originally published online on November 16, 2007
Bulletin of the London Mathematical Society 2007 39(6):892-910; doi:10.1112/blms/bdm083
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© 2007 London Mathematical Society

{Pi}Formula classes, strong minimal covers and hyperimmune-free degrees

Andrew E. M. Lewis

Dipartimento di Scienze Matematiche ed Informatiche
Pian dei Mantellini 44
53100 Siena
Italy

Received 8 March 2006. Revision received 23 May 2007.

We investigate issues surrounding an old question of Yates as to the existence of a minimal degree with no strong minimal cover, specifically with respect to the hyperimmune-free degrees.

2000 Mathematics Subject Classification 03D28.

The author was supported by Marie-Curie Fellowship MEIF-CT-2005-023657, and was partially supported by the NSFC Grand International Joint Project no. 60310213, New Directions in the Theory and Applications of Models of Computation.


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