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arXiv · 1405.7784

Indecomposable continua in exponential dynamics-Hausdorff dimension

Lukasz Pawelec·Anna Zdunik
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Abstract

We study some forward invariant sets appearing in the dynamics of the exponential family. We prove that the Hausdorff dimension of the sets under consideration is not larger than $1$. This allows us to prove, as a consequence, a result for some dynamically defined indecomposable continua which appear in the dynamics of the exponential family. We prove that the Hausdorff dimension of these continua is equal to one.

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Lukasz Pawelec, Anna Zdunik. 2014-05-30. Indecomposable continua in exponential dynamics-Hausdorff dimension. https://arxiv.org/abs/1405.7784

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