Algebraic invariants for certain one-dimensional continua
by
Marcy Barge
Montana State University

It is often the case that one-dimensional continua arising in dynamical systems can be described in terms of an inverse limit of maps having some special combinatorial properties. Such a description leads to various algebraic invariants that can be used to distinguish amongst the continua under consideration. This approach has been used on:closures of stable and unstable manifolds for the Henon map; one-dimensional hyperbolic attractors; Denjoy continua; and, recently, measured laminations. I will outline this approach for hyperbolic attractors and measureed laminations, state the most recent results, and list some open problems.

Date received: February 18, 1998