@article{Avasi2024,
  author  = {Avasi, Victor},
  title   = {Foundations of the {P}rincipia {M}etrica {F}ramework: {A}xiomatic {A}rchitecture, {I}nductive {L}imit {A}lgebras, and {H}orosphere {D}ifferential {G}eometry},
  journal = {Preprint},
  year    = {2024}
}

@article{Poincare1904,
  author  = {Poincar{\'e}, Henri},
  title   = {Cinqui{\`e}me compl{\'e}ment {\`a} l'analysis situs},
  journal = {Rendiconti del Circolo Matematico di Palermo},
  volume  = {18},
  pages   = {45--110},
  year    = {1904}
}

@article{Hamilton1982,
  author  = {Hamilton, Richard S.},
  title   = {Three-manifolds with positive {R}icci curvature},
  journal = {Journal of Differential Geometry},
  volume  = {17},
  number  = {2},
  pages   = {255--306},
  year    = {1982}
}

@article{Perelman2002,
  author        = {Perelman, Grisha},
  title         = {The entropy formula for the {R}icci flow and its geometric applications},
  journal       = {arXiv preprint math/0211159},
  year          = {2002},
  archivePrefix = {arXiv},
  eprint        = {math/0211159}
}

@article{Perelman2003,
  author        = {Perelman, Grisha},
  title         = {Ricci flow with surgery on three-manifolds},
  journal       = {arXiv preprint math/0303109},
  year          = {2003},
  archivePrefix = {arXiv},
  eprint        = {math/0303109}
}

@article{Clifford1878,
  author  = {Clifford, William Kingdon},
  title   = {Applications of {G}rassmann's {E}xtensive {A}lgebra},
  journal = {American Journal of Mathematics},
  volume  = {1},
  number  = {4},
  pages   = {350--358},
  year    = {1878}
}

@book{Dupin1822,
  author    = {Dupin, Charles},
  title     = {Applications de {G}{\'e}om{\'e}trie et de {M}{\'e}chanique},
  publisher = {Bachelier},
  address   = {Paris},
  year      = {1822}
}

@incollection{Li2001,
  author    = {Li, Hongbo and Hestenes, David and Rockwood, Alyn},
  title     = {Generalized {H}omogeneous {C}oordinates with {G}eometric {A}lgebra},
  booktitle = {Geometric Computing with Clifford Algebras},
  editor    = {Sommer, Gerald},
  publisher = {Springer},
  address   = {Berlin, Heidelberg},
  pages     = {27--59},
  year      = {2001}
}

@article{Gelfond1934,
  author  = {Gelfond, Aleksandr Osipovich},
  title   = {Sur le septi{\`e}me {P}robl{\`e}me de {H}ilbert},
  journal = {Bulletin de l'Acad{\'e}mie des Sciences de l'URSS},
  volume  = {7},
  pages   = {623--630},
  year    = {1934}
}

@article{Schneider1934,
  author  = {Schneider, Theodor},
  title   = {Transzendenzuntersuchungen periodischer {F}unktionen},
  journal = {Journal f{\"u}r die reine und angewandte Mathematik},
  volume  = {172},
  pages   = {65--69},
  year    = {1934}
}