ON PERIODIC SHADOWING OF INDUCED HYPERSPACE MAPS

In this paper we deal with the preservation of the pe- riodic shadowing property of induced hyperspatial systems. More precisely, we show that an expansive system has the periodic shad- owing property if and only if its induced hyperspatial system has the periodic shadowing property.

1. Introduction and preliminaries

2. Proof of Theorem 1.1

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