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Is there a version of the Mayer-Vietoris long exact sequence for orbifolds? I am interested in orbifold homology as opposed to the homology of the underlying topological space.

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  • $\begingroup$ Can you give a reference defining orbifold homology? $\endgroup$ – David White May 18 '16 at 15:45
  • $\begingroup$ Is this what you had a in mind for a definition of orbifold homology? math.colostate.edu/~renzo/teaching/Orbifolds/Ruan.pdf On page 35, the authors mention that a Mayer-Vietoris argument can be extended to their setting. $\endgroup$ – Neil Hoffman May 19 '16 at 5:00
  • $\begingroup$ By orbifold homology, I mean view the orbifold as a stack and take the homology of the homotopy type of the stack. For example, the orbifold homology of a point mod G is the group homology of G. 1.3.1 (iv) of arxiv.org/pdf/q-alg/9708021.pdf seems to indicate that Mayer-Vietoris holds. $\endgroup$ – qqqqqqw May 19 '16 at 10:16

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