@article{Serre1951,
  author = {Serre, Jean-Pierre},
  title = {Homologie singuli{\`e}re des espaces fibr{\'e}s. Applications},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {54},
  number = {3},
  year = {1951},
  pages = {425--505},
  doi = {10.2307/1969485},
  url = {https://webhomes.maths.ed.ac.uk/~v1ranick/papers/serre.pdf}
}

@misc{LurieHA,
  author = {Lurie, Jacob},
  title = {Higher Algebra},
  year = {2017},
  note = {Version dated September 18, 2017},
  url = {https://www.math.ias.edu/~lurie/papers/HA.pdf}
}

@article{BSS2020,
  author = {Barthel, Tobias and Schlank, Tomer M. and Stapleton, Nathaniel},
  title = {Chromatic homotopy theory is asymptotically algebraic},
  journal = {Inventiones Mathematicae},
  volume = {220},
  number = {3},
  year = {2020},
  pages = {737--845},
  doi = {10.1007/s00222-019-00943-9},
  note = {Locators refer to the \href{https://www.ms.uky.edu/~njst237/papers/ultra.pdf}{author version}},
  url = {https://www.ms.uky.edu/~njst237/papers/ultra.pdf}
}

@article{MNN2017,
  author = {Mathew, Akhil and Naumann, Niko and Noel, Justin},
  title = {Nilpotence and descent in equivariant stable homotopy theory},
  journal = {Advances in Mathematics},
  volume = {305},
  year = {2017},
  pages = {994--1084},
  doi = {10.1016/j.aim.2016.09.027},
  note = {Cited version: \href{https://arxiv.org/abs/1507.06869v2}{arXiv:1507.06869v2}},
  url = {https://arxiv.org/abs/1507.06869v2}
}

@article{NS2018,
  author = {Nikolaus, Thomas and Scholze, Peter},
  title = {On topological cyclic homology},
  journal = {Acta Mathematica},
  volume = {221},
  number = {2},
  year = {2018},
  pages = {203--409},
  doi = {10.4310/ACTA.2018.v221.n2.a1},
  note = {Cited version: \href{https://arxiv.org/abs/1707.01799v2}{arXiv:1707.01799v2}},
  url = {https://arxiv.org/abs/1707.01799v2}
}

@article{Novikov1962,
  author = {Novikov, S. P.},
  title = {Homotopy properties of {Thom} complexes},
  journal = {Matematicheskii Sbornik, Novaya Seriya},
  volume = {57(99)},
  number = {4},
  year = {1962},
  pages = {407--442},
  language = {Russian},
  url = {https://www.mathnet.ru/eng/sm4658},
  note = {Coefficient-theorem locator refers to the author's English translation,
    \href{https://homepage.mi-ras.ru/~snovikov/6.pdf}{Chapter 2, Section 2.4, Theorem 4}}
}

@article{Quillen1969,
  author = {Quillen, Daniel},
  title = {On the formal group laws of unoriented and complex cobordism theory},
  journal = {Bulletin of the American Mathematical Society},
  volume = {75},
  number = {6},
  year = {1969},
  pages = {1293--1298},
  doi = {10.1090/S0002-9904-1969-12401-8},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/QuillenBP.pdf}
}

@article{HazewinkelI,
  author = {Hazewinkel, Michiel},
  title = {Constructing formal groups {I}: The local one dimensional case},
  journal = {Journal of Pure and Applied Algebra},
  volume = {9},
  number = {2--3},
  year = {1977},
  pages = {131--149},
  doi = {10.1016/0022-4049(77)90061-5},
  url = {https://ir.cwi.nl/pub/9976/9976D.pdf}
}

@article{HazewinkelIII,
  author = {Hazewinkel, Michiel},
  title = {Constructing formal groups {III}: Applications to complex cobordism and {Brown--Peterson} cohomology},
  journal = {Journal of Pure and Applied Algebra},
  volume = {10},
  number = {1},
  year = {1977},
  pages = {1--18},
  doi = {10.1016/0022-4049(77)90026-3},
  url = {https://ir.cwi.nl/pub/10012/10012D.pdf}
}

@article{JohnsonNoel2010,
  author = {Johnson, Niles and Noel, Justin},
  title = {For complex orientations preserving power operations, {$p$}-typicality is atypical},
  journal = {Topology and its Applications},
  volume = {157},
  number = {14},
  year = {2010},
  pages = {2271--2288},
  doi = {10.1016/j.topol.2010.06.007},
  note = {Cited version: \href{https://arxiv.org/abs/0910.3187v3}{arXiv:0910.3187v3}},
  url = {https://arxiv.org/abs/0910.3187v3}
}

@article{Toda1971,
  author = {Toda, Hirosi},
  title = {On spectra realizing exterior parts of the {Steenrod} algebra},
  journal = {Topology},
  volume = {10},
  number = {1},
  year = {1971},
  pages = {53--65},
  doi = {10.1016/0040-9383(71)90017-6},
  url = {https://www.sciencedirect.com/science/article/pii/0040938371900176}
}

@article{Nave2010,
  author = {Nave, Lee S.},
  title = {The {Smith--Toda} complex {$V((p+1)/2)$} does not exist},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {171},
  number = {1},
  year = {2010},
  pages = {491--509},
  doi = {10.4007/annals.2010.171.491},
  url = {https://annals.math.princeton.edu/2010/171-1/p10}
}

@article{CulverZhang2024,
  author = {Culver, Dominic Leon and Zhang, Ningchuan},
  title = {Exotic {Picard} groups and chromatic vanishing via the {Gross--Hopkins} duality},
  journal = {Topology and its Applications},
  volume = {341},
  year = {2024},
  pages = {108742},
  doi = {10.1016/j.topol.2023.108742},
  eprint = {2203.09455v3},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  url = {https://arxiv.org/abs/2203.09455v3},
  note = {The cited Remark 3.29 is in \href{https://arxiv.org/abs/2203.09455v3}{arXiv:2203.09455v3}, dated September 30, 2023}
}

@book{May1977,
  author = {May, J. Peter},
  title = {{$E_\infty$} Ring Spaces and {$E_\infty$} Ring Spectra},
  series = {Lecture Notes in Mathematics},
  volume = {577},
  publisher = {Springer-Verlag},
  address = {Berlin--New York},
  year = {1977},
  note = {With contributions by Frank Quinn, Nigel Ray, and J{\o}rgen Tornehave},
  url = {https://www.math.uchicago.edu/~may/BOOKS/e_infty.pdf}
}

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

@article{Milnor1960,
  author = {Milnor, John},
  title = {On the cobordism ring {$\Omega^*$} and a complex analogue, {Part I}},
  journal = {American Journal of Mathematics},
  volume = {82},
  number = {3},
  pages = {505--521},
  year = {1960},
  doi = {10.2307/2372970},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/Milnor-MU.pdf}
}

@article{Adams1966,
  author = {Adams, J. F.},
  title = {On the groups {$J(X)$}. {IV}},
  journal = {Topology},
  volume = {5},
  year = {1966},
  pages = {21--71},
  doi = {10.1016/0040-9383(66)90004-8}
}

@article{Smith1970,
  author = {Smith, Larry},
  title = {On realizing complex bordism modules. {Applications} to the stable homotopy of spheres},
  journal = {American Journal of Mathematics},
  volume = {92},
  number = {4},
  year = {1970},
  pages = {793--856},
  doi = {10.2307/2373397}
}

@misc{RandalWilliams2026,
  author = {Randal-Williams, Oscar},
  title = {A chromatic approach to homological stability},
  year = {2026},
  eprint = {2508.20629v3},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  note = {Version 3, July 21, 2026},
  url = {https://arxiv.org/abs/2508.20629v3}
}

@misc{KatoShimomura2025,
  author = {Kato, Ryo and Shimomura, Katsumi and Shimomura, Mao-no-suke},
  title = {A note on the {Greek} letter elements of the homotopy of the {$L_n$}-local spheres},
  year = {2025},
  eprint = {2507.02155v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  note = {Version 1, July 2, 2025},
  doi = {10.48550/arXiv.2507.02155},
  url = {https://arxiv.org/abs/2507.02155v1}
}

@article{HopkinsSmith1998,
  author = {Hopkins, Michael J. and Smith, Jeffrey H.},
  title = {Nilpotence and stable homotopy theory. {II}},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {148},
  number = {1},
  year = {1998},
  pages = {1--49},
  doi = {10.2307/120991},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/HS.pdf}
}

@article{tomDieck1968,
  author = {tom Dieck, Tammo},
  title = {Steenrod-Operationen in Kobordismen-Theorien},
  journal = {Mathematische Zeitschrift},
  volume = {107},
  year = {1968},
  pages = {380--401},
  doi = {10.1007/BF01110069}
}

@article{Quillen1971,
  author = {Quillen, Daniel},
  title = {Elementary proofs of some results of cobordism theory using {Steenrod} operations},
  journal = {Advances in Mathematics},
  volume = {7},
  year = {1971},
  pages = {29--56},
  doi = {10.1016/0001-8708(71)90041-7},
  url = {https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/QuillenElem.pdf}
}

@article{BrownPeterson1966,
  author = {Brown, Jr., Edgar H. and Peterson, Franklin P.},
  title = {A spectrum whose {$Z_p$} cohomology is the algebra of reduced {$p$}th powers},
  journal = {Topology},
  volume = {5},
  number = {2},
  year = {1966},
  pages = {149--154},
  doi = {10.1016/0040-9383(66)90015-2}
}