Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2

Shizuo Nakane

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arXiv · 1202.6099

Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2

Shizuo Nakane

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Abstract

Investigating the link between postcritical behaviors and the relations of saddle basic sets for Axiom A polynomial skew products on C^2, we characterize various properties concerning the three kinds of accumulation sets defined by DeMarco and Hruska in terms of the saddle basic sets. We also give a new example of higher degree.

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Shizuo Nakane. 2012-02-28. Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2. https://arxiv.org/abs/1202.6099

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