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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The classifying topos of a continuous groupoid. I


Author: Ieke Moerdijk
Journal: Trans. Amer. Math. Soc. 310 (1988), 629-668
MSC: Primary 18B25; Secondary 03G30, 18F20
MathSciNet review: 973173
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Abstract: We investigate some properties of the functor $ B$ which associates to any continuous groupoid $ G$ its classifying topos $ BG$ of equivariant $ G$-sheaves. In particular, it will be shown that the category of toposes can be obtained as a localization of a category of continuous groupoids.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0973173-9
PII: S 0002-9947(1988)0973173-9
Keywords: Grothendieck topos, colimit of toposes, continuous groupoid, category of fractions
Article copyright: © Copyright 1988 American Mathematical Society