Bulletin of the Korean Mathematical Society , ( ISI ), Volume (42), No (3), Year (2005-2) , Pages (631-638)

Title : Totally Chain-Transitive Attractors of Generic Homeomorphisms are Persistence. . ( Totally Chain Transitive of Generic Homeomorphisms are Persistence )

Authors: Fateme Helen Ghane Ostadghassemi , - - ,

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Abstract

we prove that, given any compact metric space X, there exists a residual subset R of H(X), the space of all home- omorphisms on X, such that if f 2 R has a totally chain-transitive attractor A, then any g su±ciently close to f has a totally chain- transitive attractor Ag which is convergent to A in the Hausdor® topology

Keywords

, totally chain-transitive, attractor, persistent
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@article{paperid:103173,
author = {Ghane Ostadghassemi, Fateme Helen and -, -},
title = {Totally Chain-Transitive Attractors of Generic Homeomorphisms are Persistence. .},
journal = {Bulletin of the Korean Mathematical Society },
year = {2005},
volume = {42},
number = {3},
month = {February},
issn = {1015-8634},
pages = {631--638},
numpages = {7},
keywords = {totally chain-transitive; attractor; persistent},
}

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%0 Journal Article
%T Totally Chain-Transitive Attractors of Generic Homeomorphisms are Persistence. .
%A Ghane Ostadghassemi, Fateme Helen
%A -, -
%J Bulletin of the Korean Mathematical Society
%@ 1015-8634
%D 2005

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