@article{kuba2020cantor,
  title={Cantor sets and fields of reals},
  author={Kuba, Gerald},
  journal={arXiv preprint arXiv:2007.13550},
  year={2020}
}

@article {MR1149411,
    AUTHOR = {Penconek, Marcin},
     TITLE = {On nonparadoxical sets},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
    VOLUME = {139},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {177--191},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {28A05 (04A25 05A18)},
  MRNUMBER = {1149411},
MRREVIEWER = {M.\ Laczkovich},
       DOI = {10.4064/fm-139-3-177-191},
       URL = {https://doi.org/10.4064/fm-139-3-177-191},
}



@article {MR0641304,
    AUTHOR = {Erd\H{o}s, P. and Kunen, K. and Mauldin, R. Daniel},
     TITLE = {Some additive properties of sets of real numbers},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
    VOLUME = {113},
      YEAR = {1981},
    NUMBER = {3},
     PAGES = {187--199},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {04A15 (11B05 28A05)},
  MRNUMBER = {641304},
MRREVIEWER = {E.\ C.\ Milner},
       DOI = {10.4064/fm-113-3-187-199},
       URL = {https://doi.org/10.4064/fm-113-3-187-199},
}

@article {MR2010332,
    AUTHOR = {Cicho\'{n}, Jacek and Jasi\'{n}ski, Andrzej},
     TITLE = {A note on algebraic sums of subsets of the real line},
   JOURNAL = {Real Anal. Exchange},
  FJOURNAL = {Real Analysis Exchange},
    VOLUME = {28},
      YEAR = {2002/03},
    NUMBER = {2},
     PAGES = {493--499},
      ISSN = {0147-1937,1930-1219},
   MRCLASS = {03E15 (26A21 28A05)},
  MRNUMBER = {2010332},
MRREVIEWER = {Marek\ Balcerzak},
       DOI = {10.14321/realanalexch.28.2.0493},
       URL = {https://doi.org/10.14321/realanalexch.28.2.0493},
}


@article {MR0260958,
    AUTHOR = {Erd\H{o}s, P. and Stone, A. H.},
     TITLE = {On the sum of two {B}orel sets},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {25},
      YEAR = {1970},
     PAGES = {304--306},
      ISSN = {0002-9939,1088-6826},
   MRCLASS = {28.10 (54.00)},
  MRNUMBER = {260958},
MRREVIEWER = {E.\ R.\ Lorch},
       DOI = {10.2307/2037209},
       URL = {https://doi.org/10.2307/2037209},
}

@article {MR1142923,
    AUTHOR = {Rec\l aw, Ireneusz},
     TITLE = {Some additive properties of special sets of reals},
   JOURNAL = {Colloq. Math.},
  FJOURNAL = {Colloquium Mathematicum},
    VOLUME = {62},
      YEAR = {1991},
    NUMBER = {2},
     PAGES = {221--226},
      ISSN = {0010-1354,1730-6302},
   MRCLASS = {28A05 (03E15 03E50)},
  MRNUMBER = {1142923},
MRREVIEWER = {Krzysztof\ Ciesielski},
       DOI = {10.4064/cm-62-2-221-226},
       URL = {https://doi.org/10.4064/cm-62-2-221-226},
}




@article {MR0983806,
    AUTHOR = {Bundschuh, Peter},
     TITLE = {A criterion for algebraic independence with some applications},
   JOURNAL = {Osaka J. Math.},
  FJOURNAL = {Osaka Journal of Mathematics},
    VOLUME = {25},
      YEAR = {1988},
    NUMBER = {4},
     PAGES = {849--858},
      ISSN = {0030-6126},
   MRCLASS = {11J85},
  MRNUMBER = {983806},
MRREVIEWER = {Yao\ Chen\ Zhu},
       URL = {http://projecteuclid.org/euclid.ojm/1200781168},
}



@article {MR1512442,
    AUTHOR = {Neumann, J. v.},
     TITLE = {Ein {S}ystem algebraisch unabh\"{a}ngiger {Z}ahlen},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {99},
      YEAR = {1928},
    NUMBER = {1},
     PAGES = {134--141},
      ISSN = {0025-5831,1432-1807},
   MRCLASS = {99-04},
  MRNUMBER = {1512442},
       DOI = {10.1007/BF01459089},
       URL = {https://doi.org/10.1007/BF01459089},
       note={English translation available at 
       https://www.anothermathblog.com/docs/SystemofAlgIndepNumbers.pdf}, 
}