$K$-triviality in computable metric spaces. Melnikov, A. & Nies, A. Proc. Amer. Math. Soc., 141(8):2885–2899, 2013.
$K$-triviality in computable metric spaces [link]Paper  doi  bibtex   
@ARTICLE{MN13,
  author = {Melnikov, Alexander and Nies, Andr{\'e}},
  title = {{$K$}-triviality in computable metric spaces},
  journal = {Proc. Amer. Math. Soc.},
  year = {2013},
  volume = {141},
  pages = {2885--2899},
  number = {8},
  coden = {PAMYAR},
  doi = {10.1090/S0002-9939-2013-11528-5},
  fjournal = {Proceedings of the American Mathematical Society},
  issn = {0002-9939},
  keywords = {bib,cca},
  mrclass = {03D32 (03F60 68Q30)},
  mrnumber = {3056579},
  owner = {Vasco},
  timestamp = {2013.12.01},
  url = {http://dx.doi.org/10.1090/S0002-9939-2013-11528-5}
}

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