The category of reduced orbifolds

Details The category of reduced orbifolds The category of reduced orbifolds

2010-01-05

arxiv.org/abs/1001.0668v3

Mathematics

Geometric Topology

partly rewritten

Scientific paper

It is well known that reduced orbifolds and proper effective foliation
groupoids are closely related. We propose a notion of maps between reduced
orbifolds and a definition of a category in terms of (marked atlas) groupoids
such that the arising category of orbifolds is isomorphic (not only equivalent)
to this groupoid category.

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