Pointwise periodic homeomorphisms on chainable continua

Edwin Duda

Vol. 96 (1981), No. 1, 77–80

DOI: 10.2140/pjm.1981.96.77

Abstract

We show that if X is a chainable continuum with on small indecomposable subcontinua and which admits a monotone map ϕ onto the unit interval such that no point inverse has interior points, then each pointwise periodic mapping T on X is periodic and must have period 1 or 2.

Mathematical Subject Classification

Primary: 54F20, 54F20

Secondary: 54F62

Milestones

Received: 18 April 1980

Revised: 26 June 1980

Published: 1 September 1981