Orbital Shadowing Property
Year
: 2008
Abstract: Let M be a generalized homogeneous compact space, and let
Z(M) denotes the space of homeomorphisms of M with the C0 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.
Z(M) denotes the space of homeomorphisms of M with the C0 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.
Keyword(s): orbital shadowing property,δ-pseudo-orbit,shadowing property
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Orbital Shadowing Property
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| contributor author | علیرضا زمانی بهابادی | en |
| contributor author | بهمن هنری | en |
| contributor author | Ali Reza Zamani Bahabadi | fa |
| contributor author | Bahman Honari | fa |
| date accessioned | 2020-06-06T14:17:00Z | |
| date available | 2020-06-06T14:17:00Z | |
| date issued | 2008 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3390034?locale-attribute=en | |
| description abstract | Let M be a generalized homogeneous compact space, and let Z(M) denotes the space of homeomorphisms of M with the C0 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. | en |
| language | English | |
| title | Orbital Shadowing Property | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | orbital shadowing property | en |
| subject keywords | δ-pseudo-orbit | en |
| subject keywords | shadowing property | en |
| journal title | Bulletin of the Korean Mathematical Society | en |
| journal title | Bulletin of the Korean Mathematical Society | fa |
| pages | 645-650 | |
| journal volume | 45 | |
| journal issue | 4 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1013854.html | |
| identifier articleid | 1013854 |