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Universal abstract elementary classes and locally multipresentable categories,

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107211" target="_blank" >RIV/00216224:14310/19:00107211 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf" target="_blank" >https://www.ams.org/journals/proc/2019-147-03/S0002-9939-2018-14326-9/S0002-9939-2018-14326-9.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1090/proc/14326" target="_blank" >10.1090/proc/14326</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Universal abstract elementary classes and locally multipresentable categories,

  • Original language description

    We exhibit an equivalence between the model-theoretic framework of universal classes and the category-theoretic framework of locally multipresentable categories. We similarly give an equivalence between abstract elementary classes (AECs) admitting intersections and locally polypresentable categories. We use these results to shed light on Shelah's presentation theorem for AECs.

  • 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

    <a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Proceedings of the American Mathematical Society

  • ISSN

    0002-9939

  • e-ISSN

    1088-6826

  • Volume of the periodical

    147

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    1283-1298

  • UT code for WoS article

    000455239400033

  • EID of the result in the Scopus database

    2-s2.0-85061602081