Volume 13, issue 2 (2013)

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An étalé space construction for stacks

David Carchedi

Algebraic & Geometric Topology 13 (2013) 831–903
Bibliography
1 M Artin, A Grothendieck, J L Verdier, editors, Théorie des topos et cohomologie étale des schémas, Tome 1: Théorie des topos (SGA IV), Lecture Notes in Math. 269, Springer (1972) MR0354652
2 M Bunge, An application of descent to a classification theorem for toposes, Math. Proc. Cambridge Philos. Soc. 107 (1990) 59 MR1021873
3 C Butz, I Moerdijk, Representing topoi by topological groupoids, J. Pure Appl. Algebra 130 (1998) 223 MR1633759
4 M Crainic, R L Fernandes, Integrability of Lie brackets, Ann. of Math. 157 (2003) 575 MR1973056
5 B Fantechi, L Göttsche, L Illusie, S L Kleiman, N Nitsure, A Vistoli, Fundamental algebraic geometry, Math. Surveys and Monographs 123, Amer. Math. Soc. (2005) MR2222646
6 J Giraud, Cohomologie non abélienne, Grundlehren der Math. Wissenschaften 179, Springer (1971) MR0344253
7 A Henriques, D Gepner, Homotopy theory of orbispaces arXiv:math/0701916
8 P T Johnstone, The point of pointless topology, Bull. Amer. Math. Soc. 8 (1983) 41 MR682820
9 P T Johnstone, Stone spaces, Cambridge Studies in Adv. Math. 3, Cambridge Univ. Press (1986) MR861951
10 P T Johnstone, Sketches of an elephant: a topos theory compendium. Vol. 2, Oxford Logic Guides 44, The Clarendon Press Oxford University Press (2002) MR2063092
11 A Joyal, M Tierney, An extension of the Galois theory of Grothendieck, Mem. Amer. Math. Soc. 51 (1984) MR756176
12 A Kock, I Moerdijk, Presentations of étendues, Cahiers Topologie Géom. Différentielle Catég. 32 (1991) 145 MR1142688
13 J Lurie, Higher topos theory, Annals of Mathematics Studies 170, Princeton Univ. Press (2009) MR2522659
14 S Mac Lane, I Moerdijk, Sheaves in geometry and logic, Springer (1994) MR1300636
15 D Metzler, Topological and smooth stacks arXiv:math/0306176
16 I Moerdijk, The classifying topos of a continuous groupoid. I, Trans. Amer. Math. Soc. 310 (1988) 629 MR973173
17 I Moerdijk, Foliations, groupoids and Grothendieck étendues, Rev. Acad. Cienc. Zaragoza 48 (1993) 5 MR1268130
18 I Moerdijk, J Mrčun, Introduction to foliations and Lie groupoids, Cambridge Studies in Advanced Mathematics 91, Cambridge Univ. Press (2003) MR2012261
19 D A Pronk, Etendues and stacks as bicategories of fractions, Compositio Math. 102 (1996) 243 MR1401424
20 H H Tseng, C Zhu, Integrating Lie algebroids via stacks, Compos. Math. 142 (2006) 251 MR2197411