




@article {MR3904605,
    AUTHOR = {Athreya, Jayadev S. and Reznick, Bruce and Tyson, Jeremy T.},
     TITLE = {Cantor set arithmetic},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {126},
      YEAR = {2019},
    NUMBER = {1},
     PAGES = {4--17},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {28A80 (11K55)},
  MRNUMBER = {3904605},
MRREVIEWER = {J\"{o}rg\ Neunh\"{a}userer},
       DOI = {10.1080/00029890.2019.1528121},
       URL = {https://doi.org/10.1080/00029890.2019.1528121},
}


@article {MR2291714,
    AUTHOR = {Medynets, Konstantin},
     TITLE = {On approximation of homeomorphisms of a {C}antor set},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Fundamenta Mathematicae},
    VOLUME = {194},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {1--13},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {37B05 (37A99 54H11)},
  MRNUMBER = {2291714},
MRREVIEWER = {Richard\ Craig\ Miles},
       DOI = {10.4064/fm194-1-1},
       URL = {https://doi.org/10.4064/fm194-1-1},
}




@article {MR3397281,
    AUTHOR = {Alvin, Lori},
     TITLE = {Uniformly recurrent sequences and minimal {C}antor omega-limit
              sets},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Fundamenta Mathematicae},
    VOLUME = {231},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {273--284},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {37B20 (37B10 37E05 54H20)},
  MRNUMBER = {3397281},
MRREVIEWER = {Anima\ Nagar},
       DOI = {10.4064/fm231-3-3},
       URL = {https://doi.org/10.4064/fm231-3-3},
}



@article {MR0178460,
    AUTHOR = {Lininger, Lloyd L.},
     TITLE = {Some results on crumpled cubes},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
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      ISSN = {0002-9947,1088-6850},
   MRCLASS = {54.78},
  MRNUMBER = {178460},
MRREVIEWER = {James\ M.\ Kister},
       DOI = {10.2307/1993977},
       URL = {https://doi.org/10.2307/1993977},
}
@article {MR0027512,
    AUTHOR = {Fox, Ralph H. and Artin, Emil},
     TITLE = {Some wild cells and spheres in three-dimensional space},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
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      ISSN = {0003-486X},
   MRCLASS = {56.0X},
  MRNUMBER = {27512},
MRREVIEWER = {S.\ Eilenberg},
       DOI = {10.2307/1969408},
       URL = {https://doi.org/10.2307/1969408},
}


@article {MR0221487,
    AUTHOR = {Wong, Raymond Y. T.},
     TITLE = {A wild {C}antor set in the {H}ilbert cube},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
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      YEAR = {1968},
     PAGES = {189--193},
      ISSN = {0030-8730,1945-5844},
   MRCLASS = {54.78},
  MRNUMBER = {221487},
MRREVIEWER = {H.\ W.\ Lambert},
       URL = {http://projecteuclid.org/euclid.pjm/1102991614},
}




@article {MR0580587,
    AUTHOR = {Cannon, James W. and Wright, David G.},
     TITLE = {Slippery {C}antor sets in {$E\sp{n}$}},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
    VOLUME = {106},
      YEAR = {1980},
    NUMBER = {2},
     PAGES = {89--98},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {57N45 (54G15 57N15)},
  MRNUMBER = {580587},
MRREVIEWER = {R.\ J.\ Daverman},
       DOI = {10.4064/fm-106-2-89-98},
       URL = {https://doi.org/10.4064/fm-106-2-89-98},
}




@article {MR0234438,
    AUTHOR = {Sher, R. B.},
     TITLE = {Concerning wild {C}antor sets in {$E\sp{3}$}},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
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     PAGES = {1195--1200},
      ISSN = {0002-9939,1088-6826},
   MRCLASS = {54.78},
  MRNUMBER = {234438},
MRREVIEWER = {G.\ Burde},
       DOI = {10.2307/2036059},
       URL = {https://doi.org/10.2307/2036059},
}


@article {MR0896874,
    AUTHOR = {Daverman, R. J. and Edwards, R. D.},
     TITLE = {Wild {C}antor sets as approximations to codimension two
              manifolds},
   JOURNAL = {Topology Appl.},
  FJOURNAL = {Topology and its Applications},
    VOLUME = {26},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {207--218},
      ISSN = {0166-8641,1879-3207},
   MRCLASS = {57N45 (57N15 57N35 57N40)},
  MRNUMBER = {896874},
MRREVIEWER = {Morton\ Brown},
       DOI = {10.1016/0166-8641(87)90069-1},
       URL = {https://doi.org/10.1016/0166-8641(87)90069-1},
}

@article {MR3303046,
    AUTHOR = {Fletcher, Alastair and Wu, Jang-Mei},
     TITLE = {Julia sets and wild {C}antor sets},
   JOURNAL = {Geom. Dedicata},
  FJOURNAL = {Geometriae Dedicata},
    VOLUME = {174},
      YEAR = {2015},
     PAGES = {169--176},
      ISSN = {0046-5755,1572-9168},
   MRCLASS = {30D05 (28A80 37F50 54C50)},
  MRNUMBER = {3303046},
MRREVIEWER = {Araceli\ Bonifant},
       DOI = {10.1007/s10711-014-0010-3},
       URL = {https://doi.org/10.1007/s10711-014-0010-3},
}

@article {MR0375323,
    AUTHOR = {DeGryse, D. G. and Osborne, R. P.},
     TITLE = {A wild {C}antor set in {$E\sp{n}$} with simply connected
              complement},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
    VOLUME = {86},
      YEAR = {1974},
     PAGES = {9--27},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {57A15},
  MRNUMBER = {375323},
MRREVIEWER = {D.\ G.\ Wright},
       DOI = {10.4064/fm-86-1-9-27},
       URL = {https://doi.org/10.4064/fm-86-1-9-27},
}

@article {MR4487615,
    AUTHOR = {Marchese, L.},
     TITLE = {On the measure of products from the middle-third {C}antor set},
   JOURNAL = {Acta Math. Hungar.},
  FJOURNAL = {Acta Mathematica Hungarica},
    VOLUME = {167},
      YEAR = {2022},
    NUMBER = {2},
     PAGES = {365--384},
      ISSN = {0236-5294,1588-2632},
   MRCLASS = {28A80 (11K55)},
  MRNUMBER = {4487615},
MRREVIEWER = {Huo-Jun\ Ruan},
       DOI = {10.1007/s10474-022-01255-w},
       URL = {https://doi.org/10.1007/s10474-022-01255-w},
}

@article {MR3153999,
    AUTHOR = {Pedersen, Steen and Phillips, Jason D.},
     TITLE = {Exact {H}ausdorff measure of certain non-self-similar {C}antor
              sets},
   JOURNAL = {Fractals},
  FJOURNAL = {Fractals. Complex Geometry, Patterns, and Scaling in Nature
              and Society},
    VOLUME = {21},
      YEAR = {2013},
    NUMBER = {3-4},
     PAGES = {1350016, 13},
      ISSN = {0218-348X,1793-6543},
   MRCLASS = {28A78 (37F35)},
  MRNUMBER = {3153999},
MRREVIEWER = {Franklin\ A.\ Mendivil},
       DOI = {10.1142/S0218348X13500163},
       URL = {https://doi.org/10.1142/S0218348X13500163},
}

@article{bellissard2012bi,
  title={Bi-Lipshitz embedding of ultrametric Cantor sets into Euclidean spaces},
  author={Bellissard, Jean V and Julien, Antoine},
  journal={arXiv preprint arXiv:1202.4330},
  year={2012}
}





@article {MR0961514,
    AUTHOR = {Cooper, Daryl and Pignataro, Thea},
     TITLE = {On the shape of {C}antor sets},
   JOURNAL = {J. Differential Geom.},
  FJOURNAL = {Journal of Differential Geometry},
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      YEAR = {1988},
    NUMBER = {2},
     PAGES = {203--221},
      ISSN = {0022-040X,1945-743X},
   MRCLASS = {58F12 (28A75 54F45 58F13)},
  MRNUMBER = {961514},
MRREVIEWER = {Hermann\ Haase},
       URL = {http://projecteuclid.org/euclid.jdg/1214442278},
}

@article {MR1203278,
    AUTHOR = {Falconer, K. J. and Marsh, D. T.},
     TITLE = {On the {L}ipschitz equivalence of {C}antor sets},
   JOURNAL = {Mathematika},
  FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
    VOLUME = {39},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {223--233},
      ISSN = {0025-5793},
   MRCLASS = {28A80 (28A78)},
  MRNUMBER = {1203278},
MRREVIEWER = {Hermann\ Haase},
       DOI = {10.1112/S0025579300014959},
       URL = {https://doi.org/10.1112/S0025579300014959},
}



@incollection{garity2007cantor,
  title={Cantor set problems},
  author={Garity, Dennis J and Repov{\v{s}}, Dusan},
  booktitle={Open Problems in Topology II},
  pages={675--678},
  year={2007},
  publisher={Elsevier}, 
  note={\verb|https://carmamaths.org/resources/jon/Preprints/Books|
  \verb|/Open%20Probs%20in%20Top/open2.pdf#page=679|
  }, 
}