@article{Barmpalias2010WorkingStrongReducibilities,
  year      = 2009,
  publisher = {AMS},
  volume    = {362},
  number    = {02},
  pages     = {777--813},
  author    = {G. Barmpalias and R. Downey and N. Greenberg},
  title     = {Working with strong reducibilities above totally {$\omega$}-c.e. and array computable degrees},
  journal   = {Trans. Amer. Math. Soc.},
}