@Article{Dyson1951,
  author     = {Dyson, Freeman J.},
  journal    = {Ann. of Math. (2)},
  title      = {Continuous functions defined on spheres},
  year       = {1951},
  issn       = {0003-486X},
  pages      = {534--536},
  volume     = {54},
  doi        = {10.2307/1969487},
  fjournal   = {Annals of Mathematics. Second Series},
  mrclass    = {27.2X},
  mrnumber   = {44620},
  mrreviewer = {S.\ Kakutani},
  url        = {https://doi.org/10.2307/1969487},
}

@Article{Livesay1954,
  author   = {Livesay, George R.},
  journal  = {Ann. of Math. (2)},
  title    = {On a theorem of {F}. {J}. {D}yson},
  year     = {1954},
  issn     = {0003-486X},
  pages    = {227--229},
  volume   = {59},
  doi      = {10.2307/1969689},
  fjournal = {Annals of Mathematics. Second Series},
  mrclass  = {56.0X},
  mrnumber = {59546},
  url      = {https://doi.org/10.2307/1969689},
}

@Book{Matousek2003,
  author    = {Matou\v{s}ek, Ji\v{r}\'i},
  publisher = {Springer, Berlin, Heidelberg},
  title     = {{Using the Borsuk-Ulam theorem: lectures on topological methods in combinatorics and geometry}},
  year      = {2003},
  series    = {Springer, Berlin, Heidelberg},
}


@article{frick2026counterexamples,
  title={Counterexamples to the Ramos conjecture for two hyperplanes},
  author={Frick, Florian},
  journal={arXiv preprint arXiv:2609.26723},
  year={2026}
}

@article{martinez2026counterexamples,
  title={Counterexamples and symmetry for uneven orthogonal mass partitions in the plane},
  author={Mart{\'\i}nez-Sandoval, Leonardo},
  journal={arXiv preprint arXiv:2609.16757},
  year={2026}
}

@Article{Gruenbaum1960,
  author     = {Gr{\"{u}}nbaum, Branko},
  journal    = {Pacific J. Math.},
  title      = {Partitions of mass-distributions and of convex bodies by hyperplanes},
  year       = {1960},
  issn       = {0030-8730,1945-5844},
  pages      = {1257--1261},
  volume     = {10},
  fjournal   = {Pacific Journal of Mathematics},
  mrclass    = {53.90 (52.40)},
  mrnumber   = {124818},
  mrreviewer = {H.\ G.\ Eggleston},
  url        = {http://projecteuclid.org/euclid.pjm/1103038065},
}


@article{soberon2026four,
  title={Four hyperplanes do not always equipartition a mass in $\mathbb{R}^4$},
  author={Sober{\'o}n, Pablo},
  journal={arXiv preprint arXiv:2608.23312},
  year={2026}
}

@article{sadr2024table,
  title={A Table Theorem for Surfaces with Odd Euler Characteristic},
  author={Sadr, Ali Naseri},
  journal={arXiv preprint arXiv:2412.01977},
  year={2024}
}

@Article{Hausel2000,
  author     = {Hausel, Tam\'as and Makai, Jr., Endre and Sz{\H{u}}cs, Andr\'as},
  journal    = {Mathematika},
  title      = {Inscribing cubes and covering by rhombic dodecahedra via equivariant topology},
  year       = {2000},
  issn       = {0025-5793},
  number     = {1-2},
  pages      = {371--397},
  volume     = {47},
  doi        = {10.1112/S0025579300015965},
  fjournal   = {Mathematika. A Journal of Pure and Applied Mathematics},
  mrclass    = {52B12 (52A20)},
  mrnumber   = {1924512},
  mrreviewer = {P.\ McMullen},
  url        = {https://doi.org/10.1112/S0025579300015965},
}

@Book{InancBaykur2026,
  editor    = {{\.{I}}nan{\c{c}}{} Baykur, R. and Kirby, Robion C. and Ruberman, Daniel},
  publisher = {American Mathematical Society, Providence, RI},
  title     = {K3---a new problem list in low-dimensional topology},
  year      = {[2026] \copyright 2026},
  isbn      = {978-1-4704-8433-0},
  series    = {Mathematical Surveys and Monographs},
  volume    = {295},
  doi       = {10.1090/surv/295},
  mrclass   = {57-02 (57Kxx 57Mxx)},
  mrnumber  = {5077826},
  pages     = {xi+430},
  url       = {https://doi.org/10.1090/surv/295},
}


@Article{Karasev2016a,
  author   = {Karasev, Roman N.},
  journal  = {J. Math. Sci. (N.Y.)},
  title    = {A note on {M}akeev's conjectures},
  year     = {2016},
  number   = {5},
  pages    = {521--526},
  volume   = {212},
  fjournal = {J. Math. Sci. (N.Y.)},
  mrclass  = {55M20 (52A10)},
  mrnumber = {3473007},
}

@Article{Matschke2014,
  author     = {Matschke, Benjamin},
  journal    = {Notices Amer. Math. Soc.},
  title      = {A survey on the square peg problem},
  year       = {2014},
  issn       = {0002-9920,1088-9477},
  number     = {4},
  pages      = {346--352},
  volume     = {61},
  doi        = {10.1090/noti1100},
  fjournal   = {Notices of the American Mathematical Society},
  mrclass    = {51M04},
  mrnumber   = {3184501},
  mrreviewer = {Zdenka\ Kolar-Begovi\'c},
  url        = {https://doi.org/10.1090/noti1100},
}


@Article{Matschke2022,
  author     = {Matschke, Benjamin},
  journal    = {Trans. Amer. Math. Soc.},
  title      = {On the square peg problem and its relatives},
  year       = {2022},
  issn       = {0002-9947,1088-6850},
  number     = {9},
  pages      = {6255--6280},
  volume     = {375},
  doi        = {10.1090/tran/8649},
  fjournal   = {Transactions of the American Mathematical Society},
  mrclass    = {53A04 (55M20 55R80)},
  mrnumber   = {4474891},
  mrreviewer = {Anders\ Linn\'er},
  url        = {https://doi.org/10.1090/tran/8649},
}


@Article{Fenn1970,
  author     = {Fenn, Roger},
  journal    = {Bull. London Math. Soc.},
  title      = {The table theorem},
  year       = {1970},
  issn       = {0024-6093,1469-2120},
  pages      = {73--76},
  volume     = {2},
  doi        = {10.1112/blms/2.1.73},
  fjournal   = {The Bulletin of the London Mathematical Society},
  mrclass    = {55.40},
  mrnumber   = {271940},
  mrreviewer = {D.\ G.\ Bourgin},
  url        = {https://doi.org/10.1112/blms/2.1.73},
}


@article{Vassiliev2026arxiv,
  title={Inscribed squares of level sets of functions on the sphere},
  author={Vassiliev, Victor A.},
  journal={arXiv preprint arXiv:2607.13052},
  year={2026}
}

@Article{Crabb2009,
  author     = {Crabb, Michael C. and Jaworowski, Jan},
  journal    = {J. Fixed Point Theory Appl.},
  title      = {Theorems of {K}akutani and {D}yson revisited},
  year       = {2009},
  issn       = {1661-7738,1661-7746},
  number     = {2},
  pages      = {227--236},
  volume     = {5},
  doi        = {10.1007/s11784-008-0099-9},
  fjournal   = {Journal of Fixed Point Theory and Applications},
  mrclass    = {55M20 (55M25 55N15 55P42 55Q55)},
  mrnumber   = {2529498},
  mrreviewer = {Christian\ Fenske},
  url        = {https://doi.org/10.1007/s11784-008-0099-9},
}