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.

A major project which I am currently engaged in is writing a book, The Pseudo-Arc for the Pure and Applied Mathematics series by Marcel Dekker, Inc. This is taking substantially longer than originally anticipated, but hopefully will eventually near completion.

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

• Enamul Hoq     Embeddings of Tree-Like Continua in the Plane (M.Sc.)
  
• Amber Fox     Embeddings of Circle-Like Continua (M. Sc.)
  
• Paul Wesley Reynolds     Indecomposability and Inverse Limits (M.Sc.)
  
• Christopher Mouron     Expansive Homeomorphisms and Indecomposable Subcontinua (Ph.D.)

One of my recent 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:

e-MATH Home Page

Topology Atlas

Topology e-prints

2003 Spring Topology and Dynamical Systems Conference

Early History of Topology

Knot Theory

The Knot page

KnotPlot

Coming: Links to other topology-related resources

Return to Wayne Lewis home page.

Return to Texas Tech Mathematics home page.

Last updated September 23, 2002.