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Tameness, powerful images, and large cardinals

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00121092" target="_blank" >RIV/00216224:14310/21:00121092 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216305:26210/21:PU136847

  • Result on the web

    <a href="https://doi.org/10.1142/S0219061320500245" target="_blank" >https://doi.org/10.1142/S0219061320500245</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S0219061320500245" target="_blank" >10.1142/S0219061320500245</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Tameness, powerful images, and large cardinals

  • Original language description

    We provide comprehensive, level-by-level characterizations of large cardinals, in the range from weakly compact to strongly compact, by closure properties of powerful images of accessible functors. In the process, we show that these properties are also equivalent to various forms of tameness for abstract elementary classes. This systematizes and extends results of [W. Boney and S. Unger, Large cardinal axioms from tameness in AECs, Proc. Amer. Math. Soc. 145(10) (2017) 4517-4532; A. Brooke-Taylor and J. Rosicky, Accessible images revisited, Proc. AMS 145(3) (2016) 1317-1327; M. Lieberman, A category-theoretic characterization of almost measurable cardinals (Submitted, 2018), http://arxiv.org/abs/1809.06963; M. Lieberman and J. Rosicky, Classification theory for accessible categories. J. Symbolic Logic 81(1) (2016) 1647-1648].

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Logic

  • ISSN

    0219-0613

  • e-ISSN

    1793-6691

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    SG - SINGAPORE

  • Number of pages

    18

  • Pages from-to

    2050024

  • UT code for WoS article

    000606523100003

  • EID of the result in the Scopus database

    2-s2.0-85087023895