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학술저널

WEAK INVERSE SHADOWING AND Ω-STABILITY

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We give characterization of Ω-stable diffeomorphisms via the notions of weak inverse shadowing. More precisely, it is proved that the C 1 interior of the set of diffeomorphisms with the weak inverse shadowing property with respect to the class T h coincides with the set of Ω-stable diffeomorphisms.

1. Introduction

2. Preliminaries

3. Weak inverse shadowing and Ω-stability

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