English

A characterization of a map whose inverse limit is an arc

Dynamical Systems 2021-07-01 v1

Abstract

For a continuous function f:[0,1][0,1]f : [0,1] \to [0,1] we define a splitting sequence admitted by ff and show that the inverse limit of ff is an arc if and only if ff does not admit a splitting sequence.

Cite

@article{arxiv.2008.03486,
  title  = {A characterization of a map whose inverse limit is an arc},
  author = {Sina Greenwood and Sonja Stimac},
  journal= {arXiv preprint arXiv:2008.03486},
  year   = {2021}
}
R2 v1 2026-06-23T17:43:13.233Z