Date of Award
5-1-2012
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Sullivan, Michael
Abstract
We discuss how to realize simple Smale Flows on 3-manifolds. We focus on three questions: (1) What are the topological conjugate classes of Lorenz Smale flows that can be realized on S3? (2) Which 3-manifolds can also admit a Lorenz Smale flow? (3) What are the topological conjugate classes of simple Smale flows whose saddle set can be modeled by &nu(0+,0+,0,0) can be realized on S3? This dissertation extends the work of M. Sullivan and B. Yu.
COinS
Access
This dissertation is only
available for download to the SIUC community. Others should contact the
interlibrary loan department of your local library or contact ProQuest's
Dissertation Express service.