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

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