TOPOLOGY

My Ph.D. in Mathematics is from the University of Texas at Austin, 1977. My dissertation was Stable Homeomorphisms of the Pseudo-Arc under the direction of R. H. Bing.

Most of my research has been in the area of continuum theory, especially the study of hereditarily indecomposable continua.

Some of my graduate students and their thesis topics include the following.

• An-Gwo Bian     Indecomposability and Inverse Limits of One-Dimensional Continua (M.Sc., 1989)
  
• Enamul Hoq     Embeddings of Tree-Like Continua in the Plane (M.Sc., 1995)
  
• Amber Fox     Embeddings of Circle-Like Continua (M. Sc., 1996)
  
• Paul Wesley Reynolds     Indecomposability and Inverse Limits (M.Sc., 1998)
  
• Christopher Mouron     Expansive Homeomorphisms and Indecomposable Subcontinua (Ph.D., 1998)
  
• Kimberley Renee Peterson     Continua Which Are G-Like For Multiple Graphs G (M.Sc., 2005)
  
• Christopher Todd Kennaugh     Complexity of Atriodic Continua (Ph.D., 2009)
• Nadeeka de Silva     Span of Continua (M. Sc., 2010)
  
• Nadeeka de Silva     Span of Subcontinua (Ph. D., 2012)
  

One of my results is a new characterization of the pseudo-arc in terms of a certain mapping property. I was assisted in this work by my collie dog Lucky.

Other topology resources:

Topology Atlas

2003 Spring Topology and Dynamical Systems Conference

Early History of Topology

Knot Theory

Coming: Links to other topology-related resources

Return to Wayne Lewis home page.

Return to Texas Tech Mathematics home page.

Last updated August 28, 2013.