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SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET
Fakhari, Abbas,Ghane, Fatomeh Helen,Sarizadeh, Aliasghar Korean Mathematical Society 2010 대한수학회논문집 Vol.25 No.1
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.