Algebraic & Geometric Topology Volume 23, issue 5 (2023)

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Free and based path groupoids

Andrés Ángel and Hellen Colman

Algebraic & Geometric Topology 23 (2023) 1959–2008

DOI: 10.2140/agt.2023.23.1959

Bibliography

1	A Adem, J Leida, Y Ruan, Orbifolds and stringy topology, 171, Cambridge Univ. Press (2007) MR2359514
2	A Ángel, H Colman, G–category versus orbifold category, Topol. Methods Nonlinear Anal. 61 (2023) 179 MR4583973
3	H Colman, The Lusternik–Schnirelmann category of a Lie groupoid, Trans. Amer. Math. Soc. 362 (2010) 5529 MR2657690
4	H Colman, On the 1–homotopy type of Lie groupoids, Appl. Categ. Structures 19 (2011) 393 MR2772614
5	N Gambino, A Joyal, On operads, bimodules and analytic functors, 1184, Amer. Math. Soc. (2017) MR3709720
6	K Guruprasad, A Haefliger, Closed geodesics on orbifolds, Topology 45 (2006) 611 MR2218759
7	E Lupercio, B Uribe, Loop groupoids, gerbes, and twisted sectors on orbifolds, from: "Orbifolds in mathematics and physics" (editors A Adem, J Morava, Y Ruan), Contemp. Math. 310, Amer. Math. Soc. (2002) 163 MR1950946
8	J P May, A concise course in algebraic topology, Univ. Chicago Press (1999) MR1702278
9	I Moerdijk, D A Pronk, Orbifolds, sheaves and groupoids, K–Theory 12 (1997) 3 MR1466622
10	B Noohi, Mapping stacks of topological stacks, J. Reine Angew. Math. 646 (2010) 117 MR2719557
11	B Noohi, Fibrations of topological stacks, Adv. Math. 252 (2014) 612 MR3144243
12	J Pardon, Enough vector bundles on orbispaces, Compos. Math. 158 (2022) 2046 MR4515091
13	D A Pronk, Etendues and stacks as bicategories of fractions, Compositio Math. 102 (1996) 243 MR1401424
14	D Pronk, L Scull, Translation groupoids and orbifold cohomology, Canad. J. Math. 62 (2010) 614 MR2666392
15	D Pronk, L Scull, M Tommasini, Atlases for ineffective orbifolds, preprint (2017) arXiv:1606.04439v2
16	I Satake, On a generalization of the notion of manifold, Proc. Nat. Acad. Sci. U.S.A. 42 (1956) 359 MR79769
17	A Sibih, Orbifold atlas groupoids, master’s thesis, Dalhousie University (2013)
18	J Strom, Modern classical homotopy theory, 127, Amer. Math. Soc. (2011) MR2839990