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Journal of the London Mathematical Society Advance Access originally published online on October 29, 2009
Journal of the London Mathematical Society 2009 80(3):785-797; doi:10.1112/jlms/jdp049
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© 2009 London Mathematical Society

A fixed-point-free minimal degree

Masahiro Kumabe

University of the Air
2-11 Wakaba, Mihama-ku
Chiba City, 261-8586
Japan
kumabe@u-air.ac.jp

Andrew E. M. Lewis

Department of Pure Mathematics
University of Leeds
Leeds
LS2 9JT
United Kingdom

We show that there exists a Turing degree that is minimal and fixed-point-free.

2000 Mathematics Subject Classification 03D28.

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

Received March 26, 2007; revised December 9, 2008; published online October 29, 2009.


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