Aperiodic homeomorphisms approximate chain mixing endomorphisms on the Cantor set
Dynamical Systems
2015-06-26 v1
Abstract
Let be a chain mixing continuous onto mapping from the Cantor set onto itself.Let be an aperiodic homeomorphism on the Cantor set. We show that homeomorphisms that are topologically conjugate to g approximate in the topology of uniform convergence if a trivial necessary condition on periodic points is satisfied.In particular, let be a chain mixing continuous onto mapping from the Cantor set onto itself with a fixed point and g, an aperiodic homeomorphism on the Cantor set. Then, homeomorphisms that are topologically conjugate to approximate .
Cite
@article{arxiv.1506.07663,
title = {Aperiodic homeomorphisms approximate chain mixing endomorphisms on the Cantor set},
author = {Takashi Shimomura},
journal= {arXiv preprint arXiv:1506.07663},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1506.06514