A Comparison of Smale Spaces and Laminations via Inverse Limits

Author

Rebecca Elizabeth Targove, Minnesota State University - Mankato

Abstract

Inverse limits began as a purely topological concept, but have since been applied to areas such as dynamical systems and manifold theory. R.F. Williams related inverse limits to dynamical systems by presenting a construction and realization result relating expanding attractors to inverse limits of branched manifolds. Wieler then adapted these results for Smale Spaces with totally disconnected local stable sets. Rojo used tiling space results to relate inverse limits of branched manifolds to codimension zero laminations. This paper examines the results of Wieler and Rojo and shows that they are analogous.

Advisor

Brian Martensen

Committee Member

Ruijun Zhao

Committee Member

Jeffrey Ford

Date of Degree

2013

Language

english

Document Type

Thesis

Degree

Master of Science (MS)

Department

Mathematics and Statistics

College

Science, Engineering and Technology

Recommended Citation

Targove, R. E. (2013). A Comparison of Smale Spaces and Laminations via Inverse Limits [Master’s thesis, Minnesota State University, Mankato]. Cornerstone: A Collection of Scholarly and Creative Works for Minnesota State University, Mankato. https://cornerstone.lib.mnsu.edu/etds/182/

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License