204C Maxim Doucet Hall
Ph.D. 1986 University of Houston
My main area of interest is span theory, which is a topic in continuum theory. The span X is defined when X is a continuum with a metric on it. Span can be thought of as a continuous analogue of diameter. This concept can be used to study the geometric properties of a space. It can also be used to study the geometric properties of related spaces.
Selected research publications:
- The spans of five star-like simple closed curves, Glas. Mat. Ser. III, 42 (2007), 411-425.
- The symmetric span of a disk and its boundary, Topology Proc., 31 (2007), 349-360.
- Spans of continua related to indented circles, Glas. Mat. Ser. III, 39 (2004), 171-183.
- Spans of spaces contained in a convex disc cross an arc, Continuum theory (Denton, TX, 1999), 321-330, Lecture Notes in Pure and Appl. Math., 230, Dekker, New York, (2002).
- Spans of certain continua cross arcs, Houston J. Math., 28 (2002), 833-848.
- Spans of various two cells, surfaces, and simple closed curves, Glas. Mat. Ser. III, 37(57) (2002), 383-392.
- On the counting of caterpillar continua (with McClendon, Michael Scott), J. Combin. Math. Combin. Comput., 38 (2001), 177-183.
- Concerning the spans of certain plane separating continua, Houston J. Math., 25 (1999), 697-708.
- On surjective semispan of abstract graphs. J. Combin. Math. Combin. Comput., 26 (1998), 177-192.
- A bound for the span of certain plane separating continua, Glas. Mat. Ser. III 32(52) (1997), 291-300.