It is proved that a homeomorphism on a compact metric space with the average shadowing property has only one chain component which is the whole space.

 
  • 證明了緊致度量空間上具有平均偽軌跟蹤性質(zhì)的同胚只有一個(gè)鏈分支,這個(gè)鏈分支就是全空間。
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