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Journal article

Homotopy theory of dg sheaves

Abstract:
In this note we study the local projective model structure on presheaves of complexes on a site, that is, we describe its classes of cofibrations, fibrations, and weak equivalences. In particular, we prove that the fibrant objects are those satisfying descent with respect to all hypercovers. We also describe cofibrant and fibrant replacement functors with pleasant properties.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1080/00927872.2018.1554744

Authors


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Institution:
University of Oxford
Department:
Mathematical Institute
Department:
Unknown
Role:
Author



Publisher:
Taylor and Francis
Journal:
Communications in Algebra More from this journal
Volume:
47
Issue:
8
Pages:
3202–3228
Publication date:
2019-02-12
Acceptance date:
2018-11-23
DOI:
EISSN:
1532-4125
ISSN:
0092-7872


Language:
English
Keywords:
Pubs id:
pubs:929594
UUID:
uuid:aad9384b-b3f8-4736-bc62-1d6a4127228f
Local pid:
pubs:929594
Source identifiers:
929594
Deposit date:
2018-10-19

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