@article{Godel1938,
  author  = {G{\"o}del, Kurt},
  title   = {The Consistency of the Axiom of Choice and of the Generalized
             Continuum-Hypothesis},
  journal = {Proceedings of the National Academy of Sciences of the
             United States of America},
  volume  = {24},
  number  = {12},
  pages   = {556--557},
  year    = {1938},
  doi     = {10.1073/pnas.24.12.556},
  note    = {\url{https://doi.org/10.1073/pnas.24.12.556}}
}

@article{Shelah1999CategoricityAP,
  author       = {Shelah, Saharon},
  title        = {Categoricity for abstract classes with amalgamation},
  journal      = {Annals of Pure and Applied Logic},
  volume       = {98},
  number       = {1--3},
  pages        = {261--294},
  year         = {1999},
  doi          = {10.1016/S0168-0072(98)00016-5},
  eprint       = {math/9809197},
  archivePrefix = {arXiv},
  primaryClass = {math.LO},
  note         = {\url{https://doi.org/10.1016/S0168-0072(98)00016-5}}
}

@article{Vasey2017Downward,
  author       = {Vasey, Sebastien},
  title        = {Downward categoricity from a successor inside a good frame},
  journal      = {Annals of Pure and Applied Logic},
  volume       = {168},
  number       = {3},
  pages        = {651--692},
  year         = {2017},
  doi          = {10.1016/j.apal.2016.10.003},
  eprint       = {1510.03780},
  archivePrefix = {arXiv},
  primaryClass = {math.LO},
  note         = {\url{https://doi.org/10.1016/j.apal.2016.10.003}}
}

@article{SarochTrlifaj2024,
  author       = {{\v{S}}aroch, Jan and Trlifaj, Jan},
  title        = {Deconstructible abstract elementary classes of modules
                  and categoricity},
  journal      = {Bulletin of the London Mathematical Society},
  volume       = {56},
  number       = {12},
  pages        = {3854--3866},
  year         = {2024},
  doi          = {10.1112/blms.13172},
  eprint       = {2312.02623},
  archivePrefix = {arXiv},
  primaryClass = {math.RT},
  note         = {\url{https://doi.org/10.1112/blms.13172}}
}

@incollection{BoneyVasey2017Survey,
  author       = {Boney, Will and Vasey, Sebastien},
  title        = {A survey on tame abstract elementary classes},
  booktitle    = {Beyond First Order Model Theory},
  editor       = {Iovino, Jos{\'e}},
  publisher    = {CRC Press},
  pages        = {353--427},
  year         = {2017},
  eprint       = {1512.00060},
  archivePrefix = {arXiv},
  primaryClass = {math.LO},
  note         = {Preprint: \url{https://arxiv.org/abs/1512.00060v4}}
}


@article{HartShelah1990,
 author = {Hart, Bradd T. and Shelah, Saharon},
 title = {Categoricity over {$P$} for first order {$T$} or categoricity for {$\phi\in L_{\omega_1\omega}$} can stop at {$\aleph_k$} while holding for {$\aleph_0,\ldots,\aleph_{k-1}$}},
 journal = {Israel Journal of Mathematics},
 volume = {70},
 number = {2},
 year = {1990},
 pages = {219--235},
 doi = {10.1007/BF02807869},
 eprint = {math/9201240},
 archivePrefix = {arXiv},
 note = {\url{https://doi.org/10.1007/BF02807869}}
}
@article{BoneyVasey2018HartShelah,
 author = {Boney, Will and Vasey, Sebastien},
 title = {Good frames in the {Hart--Shelah} example},
 journal = {Archive for Mathematical Logic},
 volume = {57},
 year = {2018},
 pages = {687--712},
 doi = {10.1007/s00153-017-0599-7},
 eprint = {1607.03885},
 archivePrefix = {arXiv},
 note = {\url{https://doi.org/10.1007/s00153-017-0599-7}}
}
@article{KolesnikovLambieHanson2016,
 author = {Kolesnikov, Alexei and Lambie-Hanson, Chris},
 title = {The {Hanf} number for amalgamation of coloring classes},
 journal = {The Journal of Symbolic Logic},
 volume = {81},
 number = {2},
 year = {2016},
 pages = {570--583},
 doi = {10.1017/jsl.2015.48},
 eprint = {1409.2508},
 archivePrefix = {arXiv},
 note = {\url{https://doi.org/10.1017/jsl.2015.48}}
}
@misc{Grossberg2021Draft,
 author = {Grossberg, Rami},
 title = {A Course in Model Theory {I}: Introduction},
 year = {2021},
 note = {Author draft dated October 30, 2021. \url{https://www.math.cmu.edu/~rami/MOAB1.pdf}}
}
@article{ErdosRado1956,
 author = {Erd{\H o}s, Paul and Rado, Richard},
 title = {A partition calculus in set theory},
 journal = {Bulletin of the American Mathematical Society},
 volume = {62},
 year = {1956},
 pages = {427--489},
 doi = {10.1090/S0002-9904-1956-10036-0},
 note = {\url{https://doi.org/10.1090/S0002-9904-1956-10036-0}}
}
@article{Mostowski1949,
 author = {Mostowski, Andrzej},
 title = {An undecidable arithmetical statement},
 journal = {Fundamenta Mathematicae},
 volume = {36},
 year = {1949},
 pages = {143--164},
 doi = {10.4064/fm-36-1-143-164},
 note = {\url{https://doi.org/10.4064/fm-36-1-143-164}}
}


@article{Morley1965,
 author = {Morley, Michael},
 title = {Categoricity in power},
 journal = {Transactions of the American Mathematical Society},
 volume = {114},
 number = {2},
 pages = {514--538},
 year = {1965},
 doi = {10.1090/S0002-9947-1965-0175782-0},
 note = {\url{https://doi.org/10.1090/S0002-9947-1965-0175782-0}}
}

@misc{Espindola2022Eventual,
 author = {Esp{\'i}ndola, Christian},
 title = {A proof of {Shelah}'s eventual categoricity conjecture and an
          extension to accessible categories with directed colimits},
 year = {2022},
 eprint = {1906.09169},
 archivePrefix = {arXiv},
 primaryClass = {math.LO},
 note = {Version 7, April 13, 2022.
         \url{https://arxiv.org/abs/1906.09169v7}}
}

@misc{Espindola2023Spectra,
 author = {Esp{\'i}ndola, Christian},
 title = {A complete classification of categoricity spectra of accessible
          categories with directed colimits},
 year = {2023},
 eprint = {2301.13167},
 archivePrefix = {arXiv},
 primaryClass = {math.LO},
 note = {Version 1. \url{https://arxiv.org/abs/2301.13167v1}}
}