2007/05/22 by Dorette Pronk, Pronk, Dorette, Laura Scull +1
Mathematics · #18D05 #18D35 #19L47 #55N91 #57S15 #Advanced Topics in Algebra #Algebra over a field #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Biology #Category Theory (math.CT) #Cohomology #Computer science #FOS: Mathematics #Genetics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Orbifold #Pure mathematics #Translation (biology) #math.AT #math.CT #msc:18D05 #msc:18D35 #msc:19L47 #msc:55N91 #msc:57S15
paper · pdf · doi:10.48550/arxiv.0705.3249
29 pages, we have added further details and examples; this paper will appear in the Canadian Journal of Mathematics
openalex publication_date 2007/05/22 · arxiv created 2010/03/08 · arxiv updated 2010/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.