Horseshoe maps and inverse limits

Marcy Mason Barge

Vol. 121 (1986), No. 1, 29–39

DOI: 10.2140/pjm.1986.121.29

Abstract

Inverse limits of interval maps are used to show that certain homeomorphisms of the disk into itself factor over a standard n-fold horseshoe map on attracting sets and to give a topological classification of the attracting sets of horseshoe maps.

Mathematical Subject Classification

Primary: 58F12

Milestones

Received: 10 May 1984

Revised: 12 December 1984

Published: 1 January 1986