Ergodic Theory and Dynamical Systems

Table of Contents - 01 December 1991 - Volume 11, Issue 04  

Research Article

Absorbing cantor sets and trapping structures

Stewart D. Johnsona1

a1 Department of Mathematics, Williams College, Williamstown, MA 02167, USA

Abstract

It it shown that a minimal attractor for a continuous, lebesgue non-singular transformation on an interval with no wandering intervals is either a periodic orbit, a finite collection of intervals, a simply attracting cantor set, or an absorbing cantor set.

(Received June 13 1990)