Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Orbifolds, orbispaces and global homotopy theory

Branko Juran

Algebraic & Geometric Topology 25 (2025) 5175–5203
Bibliography
1 A Adem, J Leida, Y Ruan, Orbifolds and stringy topology, 171, Cambridge Univ. Press (2007) MR2359514
2 A Adem, Y Ruan, Twisted orbifold K-theory, Comm. Math. Phys. 237 (2003) 533 MR1993337
3 I Barnea, Y Harpaz, G Horel, Pro-categories in homotopy theory, Algebr. Geom. Topol. 17 (2017) 567 MR3604386
4 P Belmans, A J de Jong, others, The Stacks project, electronic reference (2005–)
5 J M Boardman, Conditionally convergent spectral sequences, from: "Homotopy invariant algebraic structures", Contemp. Math. 239, Amer. Math. Soc. (1999) 49 MR1718076
6 A Clough, B Cnossen, S Linskens, Global spaces and the homotopy theory of stacks, preprint (2024) arXiv:2407.06877
7 D Degrijse, M Hausmann, W Luck, I Patchkoria, S Schwede, Proper equivariant stable homotopy theory, 1432, Amer. Math. Soc. (2023) MR4627088
8 T tom Dieck, Algebraic topology, European Mathematical Society (EMS) (2008) MR2456045
9 D Dugger, D C Isaksen, Topological hypercovers and 𝔸1-realizations, Math. Z. 246 (2004) 667 MR2045835
10 H Fausk, D C Isaksen, t-model structures, Homology Homotopy Appl. 9 (2007) 399 MR2299805
11 D Gepner, L Meier, On equivariant topological modular forms, Compos. Math. 159 (2023) 2638
12 A Haefliger, Groupoïdes d’holonomie et classifiants, from: "Transversal structure of foliations", Astérisque 116, Société Mathématique de France (1984) 70 MR755163
13 A G Henriques, Orbispaces, PhD thesis, Massachusetts Institute of Technology (2005) MR2717316
14 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
15 M Joachim, Higher coherences for equivariant K-theory, from: "Structured ring spectra", London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 87 MR2122155
16 A Körschgen, Dwyer–Kan equivalences induce equivalences on topologically enriched presheaves, preprint (2017) arXiv:1704.07472
17 A Körschgen, A comparison of two models of orbispaces, Homology Homotopy Appl. 20 (2018) 329 MR3775363
18 E Lerman, Orbifolds as stacks?, Enseign. Math. 56 (2010) 315 MR2778793
19 L G J Lewis, The stable category and generalized Thom spectra, PhD thesis, The University of Chicago (1978) MR2611772
20 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
21 J Lurie, Higher algebra, preprint (2017)
22 M C McCord, Classifying spaces and infinite symmetric products, Trans. Amer. Math. Soc. 146 (1969) 273 MR251719
23 I Moerdijk, Orbifolds as groupoids: an introduction, from: "Orbifolds in mathematics and physics", Contemp. Math. 310, Amer. Math. Soc. (2002) 205 MR1950948
24 I Moerdijk, J Mrčun, Introduction to foliations and Lie groupoids, 91, Cambridge Univ. Press (2003) MR2012261
25 I Moerdijk, D A Pronk, Orbifolds, sheaves and groupoids, K-Theory 12 (1997) 3 MR1466622
26 B Noohi, Homotopy types of topological stacks, Adv. Math. 230 (2012) 2014 MR2927363
27 J Pardon, Enough vector bundles on orbispaces, Compos. Math. 158 (2022) 2046 MR4515091
28 D A Pronk, Etendues and stacks as bicategories of fractions, Compositio Math. 102 (1996) 243 MR1401424
29 D Pronk, L Scull, Translation groupoids and orbifold cohomology, Canad. J. Math. 62 (2010) 614 MR2666392
30 E Riehl, Categorical homotopy theory, 24, Cambridge Univ. Press (2014) MR3221774
31 I Satake, On a generalization of the notion of manifold, Proc. Nat. Acad. Sci. U.S.A. 42 (1956) 359 MR79769
32 H Sati, U Schreiber, Proper orbifold cohomology, preprint (2020) arXiv:2008.01101
33 S Schwede, Global homotopy theory, 34, Cambridge Univ. Press (2018) MR3838307
34 S Schwede, Orbispaces, orthogonal spaces, and the universal compact Lie group, Math. Z. 294 (2020) 71 MR4050064
35 G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR353298
36 N P Strickland, The category of CGWH spaces, preprint (2009)
37 W T Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
38 C Wimmer, Rational extensions of the representation ring global functor and a splitting of global equivariant K-theory, Bull. Lond. Math. Soc. 50 (2018) 863 MR3873499