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SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET
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 Title & Authors
SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET
Fakhari, Abbas; Ghane, Fatomeh Helen; Sarizadeh, Aliasghar;
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 Abstract
The article is devoted to exhibit some general properties of strong chain recurrent set and strong chain transitive components for a continuous map f on a compact metric space X. We investigate the relation between the weak shadowing property and strong chain transitivity. It is shown that a continuous map f from a compact metric space X onto itself with the average shadowing property is strong chain transitive.
 Keywords
chain recurrent;strong-chain recurrent;strong-chain recurrent class;weak shadowing;average shadowing;
 Language
English
 Cited by
 References
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