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
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DOI - Digital Object Identifier
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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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
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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
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