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Tameness in generalized metric structures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU146347" target="_blank" >RIV/00216305:26210/22:PU146347 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/23:00134105

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00153-022-00852-4" target="_blank" >https://link.springer.com/article/10.1007/s00153-022-00852-4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00153-022-00852-4" target="_blank" >10.1007/s00153-022-00852-4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Tameness in generalized metric structures

  • Original language description

    We broaden the framework of metric abstract elementary classes (mAECs) in several essential ways, chiefly by allowing the metric to take values in a well-behaved quantale. As a proof of concept we show that the result of Boney and Zambrano (Around the set-theoretical consistency of d-tameness of metric abstract elementary classes, arXiv:1508.05529, 2015) on (metric) tameness under a large cardinal assumption holds in this more general context. We briefly consider a further generalization to partial metric spaces, and hint at connections to classes of fuzzy structures, and structures on sheaves.

  • 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

    10100 - 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

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ARCHIVE FOR MATHEMATICAL LOGIC

  • ISSN

    0933-5846

  • e-ISSN

    1432-0665

  • Volume of the periodical

    22.10.2022

  • Issue of the periodical within the volume

    22.10.2022

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    28

  • Pages from-to

    „“-„“

  • UT code for WoS article

    000871171100001

  • EID of the result in the Scopus database

    2-s2.0-85140487173