Pohl, Anke DorotheaAnke DorotheaPohl2018-11-072018-11-072017https://resolver.sub.uni-goettingen.de/purl?gro-2/42828It is well-known that reduced smooth orbifolds and proper effective foliation Lie groupoids form equivalent categories. However, for certain recent lines of research, equivalence of categories is not sufficient. We propose a notion of maps between reduced smooth orbifolds and a definition of a category in terms of marked proper effective etale Lie groupoids such that the arising category of orbifolds is isomorphic (not only equivalent) to this groupoid category.journal_article10.2969/jmsj/06920755000401401300011