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ORBITAL SHADOWING PROPERTY

  • Published : 2008.11.30

Abstract

Let M be a generalized homogeneous compact space, and let Z(M) denotes the space of homeomorphisms of M with the $C^0$ topology. In this paper, we show that if the interior of the set of weak stable homeomorphisms on M is not empty then for any open subset W of Z(M) containing only weak stable homeomorphisms the orbital shadowing property is generic in W.

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Cited by

  1. Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity vol.49, pp.3, 2009, https://doi.org/10.5666/KMJ.2009.49.3.411