학술저널
ALMOST PERIODIC HOMEOMORPHISMS AND CHAOTIC HOMEOMORPHISMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
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2007.12477 - 484 (8 pages)
- 0
Let h : M ! M be an almost periodic homeomor-phism of a compact metric space M onto itself. We prove that h is topologically transitive i？？ every element of M has a dense orbit. It follows as a corollary that an almost periodic homeomorphism of a compact metric space onto itself can not be chaotic. Some additional related observations on a Cantor set are made.
1. Introduction
2. Background and De¯nitions
3. Main Theorems
4. Homeomorphisms on the Cantor dyadic set
References
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