On the Counting of Caterpillar Continua

Michael Scott McClendon1, Thelma West2
1 Department of Mathematics and Statistics University of Central Oklahoma Edmond, Oklahoma 73034
2Department of Mathematics University of Louisiana at Lafayette Lafayette, LA 70504

Abstract

In this paper we count the number of non-homeomorphic continua in a certain collection of continua. The continua in these collections are trees with certain restrictions on them. We refer to a continuum in one of these collections as a caterpillar continuum.