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Attractors with Non-Invariant Interior and Pinheiro's Theorem A

2022/02/21 by Minkov, Stanislav, Okunev, Alexey, Shilin, Ivan
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.10171

Abstract

This is a provisional version of an article, intended to be devoted to properties of attractor's intertior for smooth maps (not diffeomorphisms). We were originally motivated for this research by Pinhero's Theorem A from his recent preprint, and in Section 3 we give a simple and straightforward proof of this result.

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