2026-09-20T11:51:38Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/86372022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Michael J. Hopkins.
Hollander, Sharon Joy, 1975-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-08-23T21:55:12Z
2005-08-23T21:55:12Z
2001
2001
http://hdl.handle.net/1721.1/8637
49612394
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
Includes bibliographical references (p. 69-70).
We give a homotopy theoretic characterization of stacks on a site C which allows one to think of stacks as the homotopy sheaves of groupoids on C. We use this characterization to construct a model category, that is a formal homotopy theory, in which stacks play the special role of the fibrant objects. This allows us to compare the different definitions of stacks and show that they lead to Quillen equivalent model categories. In addition, these model structures are Quillen equivalent to the S2-nullification of Jardine's model structure on sheaves of simplicial sets on e.
by Sharon Joy Hollander.
Ph.D.
70 p.
5171552 bytes
5171312 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
A homotopy theory for stacks
Thesis
application/pdf
Publication
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unknown
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