@article{FranklWilson1981,
  author = {Frankl, Peter and Wilson, Richard M.},
  title = {Intersection theorems with geometric consequences},
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  number = {4},
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  pages = {357--368},
  doi = {10.1007/BF02579457}
}
@incollection{Nilli1994,
  author = {Nilli, A.},
  title = {On {Borsuk}'s problem},
  booktitle = {Jerusalem Combinatorics '93},
  series = {Contemporary Mathematics},
  volume = {178},
  publisher = {American Mathematical Society},
  year = {1994},
  pages = {209--210}
}
@misc{GreyWeissbach1997,
  author = {Grey, J{\"o}rn and Wei{\ss}bach, Bernulf},
  title = {{Ein weiteres Gegenbeispiel zur Borsukschen Vermutung}},
  year = {1997},
  howpublished = {17th Kolloquium {\"u}ber Kombinatorik, Braunschweig,
                  November 14--15, 1997},
  note = {Conference announcement},
  url = {https://www.kolkom.de/download/program/1997-Braunschweig-program.pdf}
}
@article{Raigorodskii1997,
  author = {Raigorodskii, A. M.},
  title = {On the dimension in {Borsuk}'s problem},
  journal = {Russian Mathematical Surveys},
  volume = {52},
  number = {6},
  year = {1997},
  pages = {1324--1325},
  doi = {10.1070/RM1997v052n06ABEH002184}
}
@article{Weissbach2000,
  author = {Wei{\ss}bach, Bernulf},
  title = {Sets with Large {Borsuk} Number},
  journal = {Beitr{\"a}ge zur Algebra und Geometrie},
  volume = {41},
  number = {2},
  year = {2000},
  pages = {417--423},
  url = {https://ftp.gwdg.de/pub/misc/EMIS/journals/BAG/vol.41/no.2/11.html}
}
@article{Hinrichs2002,
  author = {Hinrichs, Aicke},
  title = {Spherical codes and {Borsuk}'s conjecture},
  journal = {Discrete Mathematics},
  volume = {243},
  number = {1--3},
  year = {2002},
  pages = {253--256},
  doi = {10.1016/S0012-365X(01)00202-3}
}
@misc{Pikhurko2002,
  author = {Pikhurko, Oleg},
  title = {{Borsuk}'s Conjecture Fails in Dimensions 321 and 322},
  year = {2002},
  howpublished = {\href{https://arxiv.org/abs/math/0202112v1}{arXiv:\allowbreak math/0202112v1}},
  eprint = {math/0202112v1},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  url = {https://arxiv.org/abs/math/0202112v1}
}
@article{HinrichsRichter2003,
  author = {Hinrichs, Aicke and Richter, Christian},
  title = {New sets with large {Borsuk} numbers},
  journal = {Discrete Mathematics},
  volume = {270},
  number = {1--3},
  year = {2003},
  pages = {137--147},
  doi = {10.1016/S0012-365X(02)00833-6}
}

@article{Borsuk1933,
  author = {Borsuk, Karol},
  title = {{Drei S{\"a}tze {\"u}ber die $n$-dimensionale euklidische Sph{\"a}re}},
  journal = {Fundamenta Mathematicae},
  volume = {20},
  year = {1933},
  pages = {177--190},
  doi = {10.4064/fm-20-1-177-190}
}

@article{ConwayHardinSloane1996,
  author = {Conway, John H. and Hardin, Ronald H. and Sloane, Neil J. A.},
  title = {Packing lines, planes, etc.: Packings in {Grassmannian} spaces},
  journal = {Experimental Mathematics},
  volume = {5},
  number = {2},
  year = {1996},
  pages = {139--159},
  doi = {10.1080/10586458.1996.10504585},
  eprint = {math/0208004v1},
  archivePrefix = {arXiv}
}

@article{Walkup1970,
  author = {Walkup, David W.},
  title = {The lower bound conjecture for 3- and 4-manifolds},
  journal = {Acta Mathematica},
  volume = {125},
  year = {1970},
  pages = {75--107},
  doi = {10.1007/BF02392331}
}

@article{KahnKalai1993,
  author = {Kahn, Jeff and Kalai, Gil},
  title = {A counterexample to {Borsuk}'s conjecture},
  journal = {Bulletin of the American Mathematical Society (N.S.)},
  volume = {29},
  number = {1},
  year = {1993},
  pages = {60--62},
  doi = {10.1090/S0273-0979-1993-00398-7},
  eprint = {math/9307229},
  archivePrefix = {arXiv}
}

@incollection{Kalai2015,
  author = {Kalai, Gil},
  title = {Some old and new problems in combinatorial geometry {I}: Around {Borsuk}'s problem},
  booktitle = {Surveys in Combinatorics 2015},
  series = {London Mathematical Society Lecture Note Series},
  volume = {424},
  publisher = {Cambridge University Press},
  year = {2015},
  pages = {147--174},
  doi = {10.1017/CBO9781316106853.005},
  eprint = {1505.04952v1},
  archivePrefix = {arXiv}
}

@article{Bondarenko2014,
  author = {Bondarenko, Andriy V.},
  title = {On {Borsuk}'s conjecture for two-distance sets},
  journal = {Discrete \& Computational Geometry},
  volume = {51},
  number = {3},
  year = {2014},
  pages = {509--515},
  doi = {10.1007/s00454-014-9579-4},
  eprint = {1305.2584v3},
  archivePrefix = {arXiv}
}

@article{JenrichBrouwer2014,
  author = {Jenrich, Thomas and Brouwer, Andries E.},
  title = {A 64-dimensional counterexample to {Borsuk}'s conjecture},
  journal = {Electronic Journal of Combinatorics},
  volume = {21},
  number = {4},
  year = {2014},
  pages = {P4.29},
  doi = {10.37236/4069},
  note = {3 pp.}
}

@misc{Grinsztajn2026,
  author = {Grinsztajn, Max},
  title = {A 63-dimensional counterexample to {Borsuk}'s conjecture},
  year = {2026},
  month = may,
  howpublished = {Author manuscript, \href{https://github.com/maaxgrin/borsuk-63-counterexample/blob/cdcdbeac2e692b8641218c70ce9f414522e125e5/borsuk_63_counterexample.pdf}{author's repository}},
  note = {6 pp.}
}

@article{ArnouxMarin1991,
  author = {Arnoux, Pierre and Marin, Alexis},
  title = {The {K{\"u}hnel} triangulation of the complex projective plane from the view point of complex crystallography. {II}},
  journal = {Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics},
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  number = {2},
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  doi = {10.2206/kyushumfs.45.167}
}

@book{Hatcher2002,
  author = {Hatcher, Allen},
  title = {Algebraic Topology},
  publisher = {Cambridge University Press},
  year = {2002},
  note = {Corrected 2015 reprinting},
  url = {https://pi.math.cornell.edu/~hatcher/AT/AT.pdf}
}

@book{Lee2013,
  author = {Lee, John M.},
  title = {Introduction to Smooth Manifolds},
  edition = {Second},
  series = {Graduate Texts in Mathematics},
  volume = {218},
  publisher = {Springer},
  year = {2013},
  doi = {10.1007/978-1-4419-9982-5}
}

@misc{HatcherVB2017,
  author = {Hatcher, Allen},
  title = {Vector Bundles and {$K$}-Theory},
  year = {2017},
  howpublished = {Version 2.2, \href{https://pi.math.cornell.edu/~hatcher/VBKT/VB.pdf}{author's notes}},
  note = {November 2017}
}