F. Alcalde Cuesta, Á. Lozano Rojo y M. Macho Stadler. Transversely Cantor laminations as inverse limits. Proceedings of the AMS 139-7 (2011) 2615-2630.

Abstract: We demonstrate that any minimal transversely Cantor compact lamination of dimension p and class C¹ without holonomy is an inverse limit of compact branched manifolds of dimension p. To prove this result, we extend the triangulation theorem for C¹ manifolds to transversely Cantor C¹ laminations. In fact, we give a simple proof of this classical theorem based on the existence of C¹-compatible differentiable structures of class C^∞.