Monotonically Computable Real Numbers. Rettinger, R., Zheng, X., Gengler, R., & von Braunmühl, B. 48(3):459–479, 2002.
bibtex   
@ARTICLE{RZGB02,
  author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von
	Braunm{\"{u}}hl, Burchard},
  title = {Monotonically Computable Real Numbers},
  journal = MLQ,
  year = {2002},
  volume = {48},
  pages = {459--479},
  number = {3},
  keywords = {bib,cca}
}

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