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STACKS AND SHEAVES OF CATEGORIES AS FIBRANT OBJECTS, I

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00087009" target="_blank" >RIV/00216224:14310/14:00087009 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    STACKS AND SHEAVES OF CATEGORIES AS FIBRANT OBJECTS, I

  • Original language description

    We show that the category of categories fibred over a site is a generalized Quillen model category in which the weak equivalences are the local equivalences and the fibrant objects are the stacks, as they were defined by J. Giraud. The generalized modelcategory restricts to one on the full subcategory whose objects are the categories fibred in groupoids. We show that the category of sheaves of categories is a model category that is Quillen equivalent to the generalized model category for stacks and tothe model category for strong stacks due to A. Joyal and M. Tierney.

  • 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/EE2.3.20.0003" target="_blank" >EE2.3.20.0003: Algebraic methods in Geometry with views towards Applications</a><br>

  • Continuities

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

Others

  • Publication year

    2014

  • 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

    29

  • Issue of the periodical within the volume

    24

  • Country of publishing house

    CA - CANADA

  • Number of pages

    42

  • Pages from-to

    654-695

  • UT code for WoS article

    000350398900011

  • EID of the result in the Scopus database