%0 Journal Article
%T A ¦Ø-REA Set Forming A Minimal Pair With 0'
%A Peter M. Gerdes
%J Mathematics
%D 2010
%I arXiv
%X It is easy to see that no n-REA set can form a (non-trivial) minimal pair with 0' and only slightly more difficult to observe that no {\omega}-REA set can form a (non-trivial) minimal pair with 0". Shore has asked whether this can be improved to show that no {\omega}-REA set forms a (non-trivial) minimal pair with 0'. We show that no such improvement is possible by constructing a non-computable set C computable from 0" forming a minimal pair with 0'. We then show that no {\alpha}-REA set can form a (non-trivial) minimal pair with 0".
%U http://arxiv.org/abs/1012.0950v2