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Towards higher topology

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00544168" target="_blank" >RIV/67985840:_____/22:00544168 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1016/j.jpaa.2021.106838" target="_blank" >https://doi.org/10.1016/j.jpaa.2021.106838</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jpaa.2021.106838" target="_blank" >10.1016/j.jpaa.2021.106838</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Towards higher topology

  • Original language description

    We categorify the adjunction between locales and topological spaces, this amounts to an adjunction between (generalized) bounded ionads and topoi. We show that the adjunction is idempotent. We relate this adjunction to the Scott adjunction, which was discussed from a more categorical point of view in [21]. We hint that 0-dimensional adjunction inhabits the categorified one.

  • 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/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    Journal of Pure and Applied Algebra

  • ISSN

    0022-4049

  • e-ISSN

    1873-1376

  • Volume of the periodical

    226

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    22

  • Pages from-to

    106838

  • UT code for WoS article

    000704010100010

  • EID of the result in the Scopus database

    2-s2.0-85111331737