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Aug 12, 2017 at 22:10 comment added Dylan Thurston Hi Lee! It's a little hard to keep track of all the different things Haefliger wrote on the subject. Thanks for the pointer!
Aug 11, 2017 at 20:56 comment added Lee Mosher Hi Dylan. What I've seen along these lines are Haefliger's works. Besides the one mentioned in the answer of @SylvainMaillot, there is also Haefliger's paper "Complexes of groups and orbihedra" in the book "Group theory from a geometrical viewpoint" edited by Ghys and de la Harpe.
Aug 11, 2017 at 20:30 comment added Dylan Thurston That definition can be seen as a special case of a more general construction for an arbitrary orbifold. Has anyone written this down? The key issue in that orbi-graph context is that the base point is (necessarily) at a singular point, and this introduces extra complications that are usually swept under the rug. But there is still a uniform definition that works.
May 25, 2012 at 13:23 history answered Lee Mosher CC BY-SA 3.0