A hierarchy of Turing degrees of divergence bounded computable real numbers. Rettinger, R. and Zheng, X. 22(6):818–826, 2006.
A hierarchy of Turing degrees of divergence bounded computable real numbers [link]Paper  bibtex   
@ARTICLE{RZ06,
  author = {Rettinger, Robert and Zheng, Xizhong},
  title = {A hierarchy of {T}uring degrees of divergence bounded computable
	real numbers},
  journal = JC,
  year = {2006},
  volume = {22},
  pages = {818--826},
  number = {6},
  keywords = {bib,cca},
  url = {http://dx.doi.org/10.1016/j.jco.2006.04.009}
}
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