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arXiv · 2004.01222

On the realisability of Smale orders

Ioannis Iakovoglou
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Abstract

In this paper we're considering the question of whether or not a partial order on a finite set is realisable as a Smale order of a structurally stable diffeomorphism or flow acting on a closed manifold. We classify the orders that are realisable by 1) an $\Omega$-stable diffeomorphism acting on a closed surface 2) an Anosov flow on a closed 3-manifold 3) a stable diffeomorphism with trivial attractors and repellers acting on a closed surface.

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Ioannis Iakovoglou. 2020-04-02. On the realisability of Smale orders. https://arxiv.org/abs/2004.01222

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