Periodicity generated by adding machines
We show that a homeomorphism of the plane $\mathbb{R}^2$ with an invariant Cantor set $\mathbf {C}$, on which the homeomorphism acts as an adding machine, possesses periodic points arbitrarily close to $\mathbf {C}$. The existence of periodic points near an invariant Cantor set is related to a shape...
Saved in:
| Date: | 2013 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
|
| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/310 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |