Codimension zero laminations are inverse limits
Dynamical Systems
2012-11-21 v2 Geometric Topology
Abstract
The aim of the paper is to investigate the relation between inverse limit of branched manifolds and codimension zero laminations. We give necessary and sufficient conditions for such an inverse limit to be a lamination. We also show that codimension zero laminations are inverse limits of branched manifolds. The inverse limit structure allows us to show that equicontinuous codimension zero laminations preserves a distance function on transversals.
Cite
@article{arxiv.1204.6439,
title = {Codimension zero laminations are inverse limits},
author = {Álvaro Lozano Rojo},
journal= {arXiv preprint arXiv:1204.6439},
year = {2012}
}
Comments
13 pages, 2 figures