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학술저널

Recurrence and the Shadowing Property

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In this paper we give a necessary condition for a homeomorphism restricted to its nonwandering set to have the shadowing property. Also, we consider a homeomorphism which cannot have the shadowing property

ABSTRACT

1. Introduction and Definitions

2. Recurrent Sets and The Shadowing Property

3. Recurrent Sets and Chain Component Sets

4. Homeomorphisms Without The Shadowing Property

REFERENCES

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