English

Iterates of mappings which are almost continuous and open

Dynamical Systems 2010-11-23 v2

Abstract

This note presents an approach to studying the iterates of a mapping whose restriction to the complement of a finite set is continuous and open. The main examples to which the approach can be applied are piecewise monotone mappings defined on an interval or a finite graph.

Keywords

Cite

@article{arxiv.1010.1156,
  title  = {Iterates of mappings which are almost continuous and open},
  author = {Chris Preston},
  journal= {arXiv preprint arXiv:1010.1156},
  year   = {2010}
}

Comments

19 pages

R2 v1 2026-06-21T16:24:37.095Z