


@article {MR3327717,
    AUTHOR = {Goldbloom Bloch, William},
     TITLE = {Open discontinuous maps from {$\Bbb R^n$} onto {$\Bbb R^n$}},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {122},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {268--271},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {26B05},
  MRNUMBER = {3327717},
MRREVIEWER = {M.\ Laczkovich},
       DOI = {10.4169/amer.math.monthly.122.03.268},
       URL = {https://doi.org/10.4169/amer.math.monthly.122.03.268},
}


@article {MR3298752,
    AUTHOR = {W\'{o}jcik, Micha\l Ryszard},
     TITLE = {Continuity in terms of connectedness for functions on the
              line},
   JOURNAL = {Houston J. Math.},
  FJOURNAL = {Houston Journal of Mathematics},
    VOLUME = {40},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {1319--1324},
      ISSN = {0362-1588},
   MRCLASS = {26A15 (26A03 26A30 54C05)},
  MRNUMBER = {3298752},
MRREVIEWER = {Paulina\ Szyszkowska},
}


@article {MR0292041,
    AUTHOR = {Baggs, Ivan},
     TITLE = {Conditions implying continuity of open and closed functions},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {33},
      YEAR = {1972},
     PAGES = {185--190},
      ISSN = {0002-9939,1088-6826},
   MRCLASS = {54C10},
  MRNUMBER = {292041},
MRREVIEWER = {S.\ T.\ Lin},
       DOI = {10.2307/2038197},
       URL = {https://doi.org/10.2307/2038197},
}


@article {MR0301146,
    AUTHOR = {Beesley, E. M. and Morse, A. P. and Pfaff, D. C.},
     TITLE = {Lipschitzian points},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {79},
      YEAR = {1972},
     PAGES = {603--608},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {26A21},
  MRNUMBER = {301146},
MRREVIEWER = {T.\ A.\ Botts},
       DOI = {10.2307/2317086},
       URL = {https://doi.org/10.2307/2317086},
}





@article {MR0197631,
    AUTHOR = {Erd\H{o}s, P.},
     TITLE = {An example concerning open everywhere discontinuous functions},
   JOURNAL = {Rev. Roumaine Math. Pures Appl.},
  FJOURNAL = {Acad\'{e}mie de la R\'{e}publique Populaire Roumaine. Revue
              Roumaine de Math\'{e}matiques Pures et Appliqu\'{e}es},
    VOLUME = {11},
      YEAR = {1966},
     PAGES = {621--622},
      ISSN = {0035-3965},
   MRCLASS = {26.30},
  MRNUMBER = {197631},
MRREVIEWER = {A.\ M.\ Bruckner},
}



@article {MR0202932,
    AUTHOR = {Heuer, G. A.},
     TITLE = {A property of functions discontinuous on a dense set},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {73},
      YEAR = {1966},
     PAGES = {378--379},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {26.30},
  MRNUMBER = {202932},
MRREVIEWER = {Solomon\ Marcus},
       DOI = {10.2307/2315404},
       URL = {https://doi.org/10.2307/2315404},
}


@article {MR0179302,
    AUTHOR = {Heuer, G. A.},
     TITLE = {Functions continuous at the irrationals and discontinuous at
              the rationals},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {72},
      YEAR = {1965},
     PAGES = {370--373},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {26.30},
  MRNUMBER = {179302},
MRREVIEWER = {T.\ M.\ Apostol},
       DOI = {10.2307/2313494},
       URL = {https://doi.org/10.2307/2313494},
}

@article{e9605e0d-8517-3259-b578-b495695d6307,
 ISSN = {00029890, 19300972},
 URL = {http://www.jstor.org/stable/2313340},
 author = {Solomon Marcus},
 journal = {The American Mathematical Monthly},
 number = {9},
 pages = {993--995},
 publisher = {Mathematical Association of America},
 title = {Open Everywhere Discontinuous Functions},
 urldate = {2024-01-29},
 volume = {72},
 year = {1965}
}




@article {MR0132130,
    AUTHOR = {Spira, Robert},
     TITLE = {An open discontinuous function},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {69},
      YEAR = {1962},
     PAGES = {128--129},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {26.30},
  MRNUMBER = {132130},
MRREVIEWER = {W.\ C.\ Fox},
       DOI = {10.2307/2312541},
       URL = {https://doi.org/10.2307/2312541},
}

@article {MR0120325,
    AUTHOR = {Marcus, Solomon},
     TITLE = {Functions with the {D}arboux property and functions with
              connected graphs},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {141},
      YEAR = {1960},
     PAGES = {311--317},
      ISSN = {0025-5831,1432-1807},
   MRCLASS = {26.00 (28.00)},
  MRNUMBER = {120325},
MRREVIEWER = {F.\ Bagemihl},
       DOI = {10.1007/BF01360765},
       URL = {https://doi.org/10.1007/BF01360765},
}

@article {MR0096752,
    AUTHOR = {Bagemihl, F.},
     TITLE = {An example of a function with a distorted image},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {Michigan Mathematical Journal},
    VOLUME = {4},
      YEAR = {1957},
     PAGES = {285--287},
      ISSN = {0026-2285,1945-2365},
   MRCLASS = {26.00 (54.00)},
  MRNUMBER = {96752},
MRREVIEWER = {J.\ C.\ Oxtoby},
       URL = {http://projecteuclid.org/euclid.mmj/1028997961},
}

@article {MR0104770,
    AUTHOR = {Halperin, Israel},
     TITLE = {Discontinuous functions with the {D}arboux property},
   JOURNAL = {Canad. Math. Bull.},
  FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
              Math\'{e}matiques},
    VOLUME = {2},
      YEAR = {1959},
     PAGES = {111--118},
      ISSN = {0008-4395,1496-4287},
   MRCLASS = {26.00},
  MRNUMBER = {104770},
MRREVIEWER = {T.\ A.\ Botts},
       DOI = {10.4153/CMB-1959-016-1},
       URL = {https://doi.org/10.4153/CMB-1959-016-1},
}

@article {MR0060814,
    AUTHOR = {Klee, V. L. and Utz, W. R.},
     TITLE = {Some remarks on continuous transformations},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {5},
      YEAR = {1954},
     PAGES = {182--184},
      ISSN = {0002-9939,1088-6826},
   MRCLASS = {56.0X},
  MRNUMBER = {60814},
MRREVIEWER = {W.\ H.\ Gottschalk},
       DOI = {10.2307/2032219},
       URL = {https://doi.org/10.2307/2032219},
}

@article {MR1527895,
    AUTHOR = {Fort, Jr., M. K.},
     TITLE = {Mathematical {N}otes: {A} {T}heorem {C}oncerning {F}unctions
              {D}iscontinuous on a {D}ense {S}et},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {58},
      YEAR = {1951},
    NUMBER = {6},
     PAGES = {408--410},
      ISSN = {0002-9890,1930-0972},
   MRCLASS = {99-04},
  MRNUMBER = {1527895},
       DOI = {10.2307/2306555},
       URL = {https://doi.org/10.2307/2306555},
}


@article {MR1500781,
    AUTHOR = {Van Vleck, Edward B.},
     TITLE = {A proof of some theorems on pointwise discontinuous functions},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {8},
      YEAR = {1907},
    NUMBER = {2},
     PAGES = {189--204},
      ISSN = {0002-9947,1088-6850},
   MRCLASS = {26A15 (26B05)},
  MRNUMBER = {1500781},
       DOI = {10.2307/1986345},
       URL = {https://doi.org/10.2307/1986345},
}