Algorithmic randomness, reverse mathematics, and the dominated convergence theorem. Avigad, J., Dean, E. T., & Rute, J. Ann. Pure Appl. Logic, 163(12):1854–1864, 2012.
Algorithmic randomness, reverse mathematics, and the dominated convergence theorem [link]Paper  doi  bibtex   
@ARTICLE{ADR12,
  author = {Avigad, Jeremy and Dean, Edward T. and Rute, Jason},
  title = {Algorithmic randomness, reverse mathematics, and the dominated convergence
	theorem},
  journal = {Ann. Pure Appl. Logic},
  year = {2012},
  volume = {163},
  pages = {1854--1864},
  number = {12},
  coden = {APALD7},
  doi = {10.1016/j.apal.2012.05.010},
  file = {ADR12.pdf:ADR12.pdf:PDF},
  fjournal = {Annals of Pure and Applied Logic},
  issn = {0168-0072},
  keywords = {bib,cca},
  mrclass = {03F35 (03B30 03D32 03F60 28A20)},
  mrnumber = {2964874},
  mrreviewer = {Denis R. Hirschfeldt},
  url = {http://dx.doi.org/10.1016/j.apal.2012.05.010}
}

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