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The geometry of ideal 2-dimensional simplicial complexes. (English) Zbl 0977.57003
The authors’ abstract: “We study geometric structures on 2-dimensional simplicial complexes. In particular, we consider hyperbolic structures and measured foliations on these simplicial complexes. We describe the spaces of such structures and we relate the two resulting spaces in a manner which is analogous to Thurston’s compactification of the Teichmüller space of a surface”.

##### MSC:
 57M20 Two-dimensional complexes (manifolds) (MSC2010) 57M50 General geometric structures on low-dimensional manifolds
##### Keywords:
hyperbolic structure; Teichmüller space