# Mayer-Vietoris sequence for orbifolds

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.

• Can you give a reference defining orbifold homology? – David White May 18 '16 at 15:45
• 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. – Neil Hoffman May 19 '16 at 5:00
• 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. – qqqqqqw May 19 '16 at 10:16