Translation Groupoids and Orbifold Bredon Cohomology

Mathematics – Algebraic Topology

Scientific paper

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29 pages, we have added further details and examples; this paper will appear in the Canadian Journal of Mathematics

Scientific paper

We show that the bicategory of (representable) orbifolds and good maps is
equivalent to the bicategory of orbifold translation groupoids and generalized
equivariant maps. We use this result to define an orbifold version of Bredon
cohomology.

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