The space of ω-limit sets of a continuous map of the interval

Academic Article


  • We first give a geometric characterization of ω-limit sets. We then use this characterization to prove that the family of ω-limit sets of a continuous interval map is closed with respect to the Hausdorff metric. Finally, we apply this latter result to other dynamical systems. ©1996 American Mathematical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Blokh A; Bruckner AM; Humke PD; Smítal J
  • Start Page

  • 1357
  • End Page

  • 1372
  • Volume

  • 348
  • Issue

  • 4