Open and monotone fixed point free maps on uniquely arcwise connected continua

Academic Article


  • In this note we will construct uniquely arcwise connected continua admitting open and monotone fixed point free mappings, respectively. We will also show that each locally one-to-one map on a uniquely arcwise connected continuum has a fixed point. © 1985 American Mathematical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Mohler L; Oversteegen LG
  • Start Page

  • 476
  • End Page

  • 482
  • Volume

  • 95
  • Issue

  • 3