## Periodic orbits of maps of $$Y$$.(English)Zbl 0803.54032

Summary: We introduce some notions that are useful for studying the behavior of periodic orbits of maps of one-dimensional spaces. We use them to characterize the set of periods of periodic orbits for continuous maps of $$Y= \{z\in \mathbb{C}$$: $$z^ 3\in [0,1]\}$$ into itself having zero as fixed point. We also obtain new proofs of some known results for maps of an interval into itself.

### MSC:

 54H20 Topological dynamics (MSC2010)
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