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A classification of braid types for periodic orbits of diffeomorphisms of surfaces of genus one with topological entropy zero. (English) Zbl 0761.54026
In a previous paper [J. Libre and R. S. Mackay, J. Lond. Math. Soc., II. Ser. 42, No. 3, 562-576 (1990; Zbl 0725.58036)] two of the authors gave a classification of the braid types for finite unions of periodic orbits of diffeomorphisms with topological entropy zero on surfaces $$X$$ of genus zero. In the present paper a similar classification is given in the case when $$X$$ is a surface of genus one. The authors use the analysis and results from the above cited paper and Thurston’s classification of surface homeomorphisms.
Reviewer: L.Stoyanov (Perth)

##### MSC:
 54H20 Topological dynamics (MSC2010) 54C70 Entropy in general topology
##### Keywords:
braid type; surface of genus one; topological entropy
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