# Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity

• Honary, Bahman (Department of Pure Mathematics, Ferdowsi University of Mashhad) ;
• Bahabadi, Alireza Zamani (Department of Pure Mathematics, Ferdowsi University of Mashhad, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad)
• Accepted : 2009.03.10
• Published : 2009.09.30
• 32 4

#### Abstract

In this paper we introduce the notions of strict persistence and weakly strict persistence which are stronger than those of persistence and weak persistence, respectively, and study their relations with shadowing property. In particular, we show that the weakly strict persistence and the weak inverse shadowing property are locally generic in Z(M).

#### Keywords

inverse shadowing property;persistence ${\delta}$-pseudo-orbit;shadowing property

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#### Cited by

1. Inverse Shadowing and Weak Inverse Shadowing Property vol.03, pp.05, 2012, https://doi.org/10.4236/am.2012.35072