English

Periodic Points on the 2-sphere

Dynamical Systems 2012-10-16 v1

Abstract

For a C1C^{1} degree two latitude preserving endomorphism ff of the 2-sphere, we show that ff has 2n2^{n} periodic points.

Cite

@article{arxiv.1210.3717,
  title  = {Periodic Points on the 2-sphere},
  author = {Charles Pugh and Michael Shub},
  journal= {arXiv preprint arXiv:1210.3717},
  year   = {2012}
}

Comments

14 pages

R2 v1 2026-06-21T22:21:06.394Z