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On sifted colimits and generalized varieties

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F01%3A00002949" target="_blank" >RIV/00216224:14310/01:00002949 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21230/01:03069826

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On sifted colimits and generalized varieties

  • Original language description

    Filtered colimits, i.e., colimits which commute with finite limits, have a natural generalization to sifted colimits: these are colimits which commute with finite products in sets. Generalized varieties are defined as free completions of small categoriesunder sifted colimits (analogously to finitely accessible categories which are free completions of small categories under filtered colimits). Among complete categories, generalized varieties are precisely the varieties.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F99%2F0310" target="_blank" >GA201/99/0310: Categorical methods of the theory of structures and computer science</a><br>

  • Continuities

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

Others

  • Publication year

    2001

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Theory and Applications of Categories

  • ISSN

    1201-561X

  • e-ISSN

  • Volume of the periodical

    2001

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    CA - CANADA

  • Number of pages

    20

  • Pages from-to

    33-53

  • UT code for WoS article

  • EID of the result in the Scopus database