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1. CJM 2009 (vol 62 pp. 614)

Pronk, Dorette; Scull, Laura
 Translation Groupoids and Orbifold Cohomology We show that the bicategory of (representable) orbifolds and good maps is equivalent to the bicategory of orbifold translation groupoids and generalized equivariant maps, giving a mechanism for transferring results from equivariant homotopy theory to the orbifold category. As an application, we use this result to define orbifold versions of a couple of equivariant cohomology theories: K-theory and Bredon cohomology for certain coefficient diagrams. Keywords:orbifolds, equivariant homotopy theory, translation groupoids, bicategories of fractionsCategories:57S15, 55N91, 19L47, 18D05, 18D35
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