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.