The fixed point property for tree-like continua with finitely many arc components

Joseph Braucher Fugate and Lee K. Mohler

Vol. 57 (1975), No. 2, 393–402

DOI: 10.2140/pjm.1975.57.393

Abstract

It is shown that if M is a tree-like continuum with a finite number of arc components, then every continuous mapping of M into itself has a fixed point.

Mathematical Subject Classification

Primary: 54F20

Milestones

Received: 1 August 1974

Revised: 11 November 1974

Published: 1 April 1975