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}

@article{zbMATH03118918,
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 author = {McCoy, Robert A. and Kundu, Subiman and Jindal, Varun},
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 issn = {2191-8198},
 isbn = {978-3-319-77053-6; 978-3-319-77054-3},
 year = {2018},
 publisher = {Cham: Springer},
 language = {English},
 doi = {10.1007/978-3-319-77054-3},
 keywords = {54-02,54C35,54E05,54D65,54E15,54D05,54E50},
 zbMATH = {6863960},
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@article{zbMATH03994517,
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 volume = {9},
 pages = {417--424},
 year = {1986},
 language = {English},
 doi = {10.1155/S0161171286000534},
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}




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 keywords = {54B15,54E50},
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 author = {Marin, A. and Visetti, Y. M.},
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}

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 author = {Whyburn, G. T.},
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 volume = {42},
 pages = {49--73},
 year = {1936},
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@misc{arXiv:2103.02977,
 author = {Boldizsar Kalmar},
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 year = {2021},
 howpublished = {Preprint, {arXiv}:2103.02977 [math.{GT}] (2021)},
 keywords = {57N60,57N45,57M30,57N40},
 url = {https://arxiv.org/abs/2103.02977},
 arXiv = {arXiv:2103.02977}
}


@article{zbMATH03128022,
 author = {Bing, R. H.},
 title = {Upper semicontinuous decompositions of {{\(E^ 3\)}}},
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 year = {1957},
 language = {English},
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 zbMATH = {3128022},
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@article{McAuley1979SHRINKABLEDC,
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@article{zbMATH03078238,
 author = {Bing, R. H.},
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 volume = {56},
 pages = {354--362},
 year = {1952},
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 doi = {10.2307/1969804},
 zbMATH = {3078238},
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}

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 year = {1985},
 language = {English},
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 keywords = {57N20,58B05},
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@book{zbMATH01612786,
 author = {van Mill, Jan},
 title = {The infinite-dimensional topology of function spaces},
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 isbn = {0-444-50557-1},
 year = {2001},
 publisher = {Amsterdam: Elsevier},
 language = {English},
 keywords = {54-02,54C35,57N20,46-02},
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}



@article{zbMATH03768633,
 author = {Gravesen, Jens},
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 pages = {58--60},
 year = {1983},
 language = {English},
 doi = {10.7146/math.scand.a-11993},
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}

@article{zbMATH03734780,
 author = {Toru{\'n}czyk, H.},
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 year = {1981},
 language = {English},
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 author = {Ishiki, Y.},
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 volume = {369},
 pages = {17},
 note = {Id/No 109408},
 year = {2025},
 language = {English},
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 keywords = {54E35,54E50,54E52,54D20},
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@article {MR43448,
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}

@article {MR41420,
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@article {MR43449,
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@book{Cdimension,
	Author = {Charalambous, M. G.},
	Date-Modified = {2020-12-07 12:31:36 +0900},
	Doi = {10.1007/978-3-030-22232-1},
	Isbn = {978-3-030-22231-4; 978-3-030-22232-1},
	Pages = {x+261},
	Publisher = {Springer, Cham},
	Series = {Atlantis Studies in Mathematics},
	Title = {Dimension {T}heory: {A} selection of theorems and counterexamples},
	Url = {https://doi.org/10.1007/978-3-030-22232-1},
	Volume = {7},
	Year = {2019},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-030-22232-1}}



@article {MR201386,
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@book{dobovs1998metric,
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@article{ohara2024,
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      primaryClass={math.MG},
      url={https://arxiv.org/abs/2401.00786}, 
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}


@book {MR2662522,
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   MRCLASS = {30L10 (28A78 28A80 37F35)},
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MRREVIEWER = {Leonid\ V.\ Kovalev},
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@book {MR1800917,
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@incollection {MR919829,
    AUTHOR = {Gromov, M.},
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 BOOKTITLE = {Essays in group theory},
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 PUBLISHER = {Springer, New York},
      YEAR = {1987},
      ISBN = {0-387-96618-8},
   MRCLASS = {20F32 (20F06 20F10 22E40 53C20 57R75 58F17)},
  MRNUMBER = {919829},
MRREVIEWER = {Christopher\ W.\ Stark},
       DOI = {10.1007/978-1-4613-9586-7\_3},
       URL = {https://doi.org/10.1007/978-1-4613-9586-7_3},
}



@incollection {MR1871000,
    AUTHOR = {Gromov, Misha},
     TITLE = {Mesoscopic curvature and hyperbolicity},
 BOOKTITLE = {Global differential geometry: the mathematical legacy of
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    SERIES = {Contemp. Math.},
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      YEAR = {2001},
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  MRNUMBER = {1871000},
MRREVIEWER = {Janko\ Latschev},
       DOI = {10.1090/conm/288/04817},
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@book {MR2307192,
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      NOTE = {Based on the 1981 French original,
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@book {MR1039321,
    AUTHOR = {Engelking, Ryszard},
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      YEAR = {1989},
     PAGES = {viii+529},
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@article {MR3395963,
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       URL = {http://projecteuclid.org/euclid.ijm/1441790390},
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@book {MR2327160,
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@book {MR1835418,
    AUTHOR = {Burago, Dmitri and Burago, Yuri and Ivanov, Sergei},
     TITLE = {A {C}ourse in {M}etric {G}eometry},
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    VOLUME = {33},
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      ISBN = {0-8218-2129-6},
   MRCLASS = {53C23},
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       DOI = {10.1090/gsm/033},
       URL = {https://doi.org/10.1090/gsm/033},
}

@article {MR1918193,
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   JOURNAL = {Uspekhi Mat. Nauk},
  FJOURNAL = {Uspekhi Matematicheskikh Nauk},
    VOLUME = {57},
      YEAR = {2002},
    NUMBER = {2(344)},
     PAGES = {3--22},
      ISSN = {0042-1316,2305-2872},
   MRCLASS = {54F65 (53C70)},
  MRNUMBER = {1918193},
MRREVIEWER = {Vitali\ Kapovitch},
       DOI = {10.1070/RM2002v057n02ABEH000495},
       URL = {https://doi.org/10.1070/RM2002v057n02ABEH000495},
}


@article {MR2857999,
    AUTHOR = {Hu\v sek, M.},
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    VOLUME = {25},
      YEAR = {2010},
    NUMBER = {3},
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      ISSN = {0213-8743,2605-5686},
   MRCLASS = {54C20 (54E35)},
  MRNUMBER = {2857999},
MRREVIEWER = {Marek\ Jarnicki},
}


@article {MR2864002,
    AUTHOR = {Stasyuk, I. and Tymchatyn, E. D.},
     TITLE = {A continuous operator extending fuzzy ultrametrics},
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  FJOURNAL = {Commentationes Mathematicae Universitatis Carolinae},
    VOLUME = {52},
      YEAR = {2011},
    NUMBER = {4},
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      ISSN = {0010-2628,1213-7243},
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MRREVIEWER = {Ying\ Ming\ Liu},
       DOI = {10.1134/s0037446611040057},
       URL = {https://doi.org/10.1134/s0037446611040057},
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@article {MR2957499,
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     TITLE = {Nonexistence of linear operators extending {L}ipschitz
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      ISSN = {0033-3883,2064-2849},
   MRCLASS = {54F50 (26A16 54E35)},
  MRNUMBER = {2957499},
MRREVIEWER = {Ihor\ Z.\ Stasyuk},
       DOI = {10.5486/PMD.2012.4913},
       URL = {https://doi.org/10.5486/PMD.2012.4913},
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@article {MR2857823,
    AUTHOR = {Stasyuk, I. Z. and Tymchatyn, E. D.},
     TITLE = {Extending pairs of metrics},
   JOURNAL = {Mat. Stud.},
  FJOURNAL = {Matematichn\=\i\ Stud\=\i\"i. Prats\=\i\ L\cprime v\=\i
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    VOLUME = {35},
      YEAR = {2011},
    NUMBER = {2},
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      ISSN = {1027-4634,2411-0620},
   MRCLASS = {54C20 (54C05 54C35 54E35 54E40)},
  MRNUMBER = {2857823},
MRREVIEWER = {Ljubi\v sa\ Ko\v cinac},
}

@article {MR2761694,
    AUTHOR = {Stasyuk, I. and Tymchatyn, E. D.},
     TITLE = {A continuous extension operator for convex metrics},
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  FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
              Math\'ematiques},
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  MRNUMBER = {2761694},
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@article {MR2054807,
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  MRNUMBER = {2054807},
MRREVIEWER = {Stoyan\ Nedev},
       DOI = {10.1090/S0002-9939-04-07413-1},
       URL = {https://doi.org/10.1090/S0002-9939-04-07413-1},
}




@article {MR1751152,
    AUTHOR = {Banakh, T. and Bessaga, C.},
     TITLE = {On linear operators extending [pseudo]metrics},
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    VOLUME = {48},
      YEAR = {2000},
    NUMBER = {1},
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      ISSN = {0239-7269},
   MRCLASS = {54C20 (54C35 54E20 54E35)},
  MRNUMBER = {1751152},
MRREVIEWER = {V.\ Kannan},
}





@article {MR1455501,
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@article {MR2124991,
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@article {MR2520139,
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MRREVIEWER = {Rafael\ Esp\'inola},
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@article {MR3712976,
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     TITLE = {Extension of functions and metrics with variable domains},
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  MRNUMBER = {3712976},
MRREVIEWER = {Dimitrios\ N.\ Georgiou},
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@book {MR4179591,
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@book {MR3363168,
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@book {MR3445278,
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MRREVIEWER = {Emil\ Saucan},
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@book {MR2267655,
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   MRCLASS = {28-02 (28Axx 28Cxx 46G12 60G42 60G44)},
  MRNUMBER = {2267655},
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       URL = {https://doi.org/10.1007/978-3-540-34514-5},
}



%%%%%%%%%%%%%%%%%%%%




@book {MR1619545,
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@book {MR1357166,
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       URL = {https://doi.org/10.1016/j.topol.2007.04.029},
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@book {MR2277969,
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  MRNUMBER = {2277969},
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@article {MR2861765,
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@book {MR1800917,
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@article {MR0511661,
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@book {MR3792558,
    AUTHOR = {Weaver, N.},
     TITLE = {Lipschitz algebras},
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 PUBLISHER = {World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ},
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@article{koshino2024borel,
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@article{koshino2022topological,
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}


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       URL = {https://doi.org/10.4064/ba220523-18-4},
}



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note = {\url{http://eudml.org/doc/268479}},
}


@book {MR0394604,
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 PUBLISHER = {Cambridge University Press, Cambridge, England-New
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@incollection {MR1053193,
    AUTHOR = {Hoshina, T.},
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 BOOKTITLE = {Topics in general topology},
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 PUBLISHER = {North-Holland, Amsterdam},
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}



@article {MR1268864,
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      ISSN = {0147-1937,1930-1219},
   MRCLASS = {54E35},
  MRNUMBER = {1268864},
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@article {MR1205515,
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}

@article {MR0943561,
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    VOLUME = {13},
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    NUMBER = {2},
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      ISSN = {0147-1937},
   MRCLASS = {26A21 (26-02)},
  MRNUMBER = {943561},
MRREVIEWER = {James\ Foran},
}




@article {MR0010962,
    AUTHOR = {Shanks, M. E.},
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   MRCLASS = {56.0X},
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       DOI = {10.2307/2371909},
       URL = {https://doi.org/10.2307/2371909},
}

@article {MR1407287,
    AUTHOR = {Vallin, R. W.},
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   JOURNAL = {Real Anal. Exchange},
  FJOURNAL = {Real Analysis Exchange},
    VOLUME = {21},
      YEAR = {1995/96},
    NUMBER = {2},
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      ISSN = {0147-1937,1930-1219},
   MRCLASS = {54E35},
  MRNUMBER = {1407287},
}

@article {MR3227206,
    AUTHOR = {Austin, K. and Dydak, J.},
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    VOLUME = {173},
      YEAR = {2014},
     PAGES = {74--82},
      ISSN = {0166-8641,1879-3207},
   MRCLASS = {54F45},
  MRNUMBER = {3227206},
MRREVIEWER = {N.\ Hindman},
       DOI = {10.1016/j.topol.2014.05.015},
       URL = {https://doi.org/10.1016/j.topol.2014.05.015},
}


@inproceedings {MR2048926,
    AUTHOR = {Dydak, J.},
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 BOOKTITLE = {Proceedings of the {S}pring {T}opology and {D}ynamical
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    VOLUME = {27},
      YEAR = {2003},
    NUMBER = {1},
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      ISSN = {0146-4124,2331-1290},
   MRCLASS = {54E35 (54F45 55M10)},
  MRNUMBER = {2048926},
}


@article {MR0056905,
    AUTHOR = {Michael, E.},
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  FJOURNAL = {Proceedings of the American Mathematical Society},
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   MRCLASS = {56.0X},
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       DOI = {10.2307/2032419},
       URL = {https://doi.org/10.2307/2032419},
}

@article {MR0261565,
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       DOI = {10.1007/BF01350686},
       URL = {https://doi.org/10.1007/BF01350686},
}



@article {MR0097789,
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@book {MR0002515,
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 PUBLISHER = {Princeton University Press, Princeton, NJ},
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   MRCLASS = {56.0X},
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MRREVIEWER = {J.\ Dieudonn\'{e}},
       DOI = {10.1090/S0002-9904-1948-09118-2},
       URL = {https://doi.org/10.1090/S0002-9904-1948-09118-2},
}



@article {MR0236876,
    AUTHOR = {Rudin, M. E.},
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       DOI = {10.2307/2035708},
       URL = {https://doi.org/10.2307/2035708},
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@article {MR0234461,
    AUTHOR = {Derwent, J.},
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       DOI = {10.2307/2036043},
       URL = {https://doi.org/10.2307/2036043},
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@book {MR0831659,
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   MRCLASS = {54-02},
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}

@article {MR0822451,
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      ISSN = {0002-9939,1088-6826},
   MRCLASS = {54E50 (54C10)},
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MRREVIEWER = {H.\ H.\ Wicke},
       DOI = {10.2307/2046606},
       URL = {https://doi.org/10.2307/2046606},
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@article {MR0116305,
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MRREVIEWER = {J.\ R.\ Isbell},
note = {http://eudml.org/doc/12039}, 
}



@book {MR3560910,
    AUTHOR = {Lin, S. and Yun, Z.},
     TITLE = {Generalized metric spaces and mappings},
    SERIES = {Atlantis Studies in Mathematics},
    VOLUME = {6},
   EDITION = {Chinese},
      NOTE = {With a foreword by Alexander V. Arhangel'ski\v{i},
              With a preface by Guoshi Gao},
 PUBLISHER = {Atlantis Press, [Paris]},
      YEAR = {2016},
     PAGES = {xvi+328},
      ISBN = {978-94-6239-215-1; 978-94-6239-216-8},
   MRCLASS = {54-01 (54C10 54E35)},
  MRNUMBER = {3560910},
MRREVIEWER = {Ryo\ Ohashi},
       DOI = {10.2991/978-94-6239-216-8},
       URL = {https://doi.org/10.2991/978-94-6239-216-8},
}




@book {MR2048350,
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     TITLE = {General {T}opology},
      NOTE = {Reprint of the 1970 original [Addison-Wesley, Reading, MA;
              MR0264581]},
 PUBLISHER = {Dover Publications, Inc., Mineola, NY},
      YEAR = {2004},
     PAGES = {xii+369},
      ISBN = {0-486-43479-6},
   MRCLASS = {54-02 (01A75)},
  MRNUMBER = {2048350},
}


@book {MR3099433,
    AUTHOR = {Sakai, K.},
     TITLE = {Geometric aspects of general topology},
    SERIES = {Springer Monographs in Mathematics},
 PUBLISHER = {Springer, Tokyo},
      YEAR = {2013},
     PAGES = {xvi+521},
      ISBN = {978-4-431-54396-1; 978-4-431-54397-8},
   MRCLASS = {54-01},
  MRNUMBER = {3099433},
MRREVIEWER = {Vesko\ Valov},
       DOI = {10.1007/978-4-431-54397-8},
       URL = {https://doi.org/10.1007/978-4-431-54397-8},
}

@article {MR0132525,
    AUTHOR = {Morita, K.},
     TITLE = {Paracompactness and product spaces},
   JOURNAL = {Fund. Math.},
  FJOURNAL = {Polska Akademia Nauk. Fundamenta Mathematicae},
    VOLUME = {50},
      YEAR = {1961/62},
     PAGES = {223--236},
      ISSN = {0016-2736,1730-6329},
   MRCLASS = {54.25},
  MRNUMBER = {132525},
MRREVIEWER = {E.\ Michael},
       DOI = {10.4064/fm-50-3-223-236},
       URL = {https://doi.org/10.4064/fm-50-3-223-236},
}







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