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- W2576458567 abstract "设S为sin(1/x)连续统，f:S→S为连续自映射，其中S=L1∪L2 ，L1={(x,y)∈R2|x=0,-1≤y≤1} ，L2={(x,y)∈R2|sin(1/x),0≤x≤1} 。本文指出：如果f为逐点链回归映射，那么，若Fin(f) 连通，则f为恒等映射；若Fin(f) 不连通，则当Fin(f1) 或者Fin(f2) 非退化不连通时， f含湍流，当Fin(f1)=L1 ， Fin(f2)=a,a∈L2且(L2-{a})∩P(f2)=φ 时， f不含湍流。 Let S be sin(1/x) continuum and f:S→S is a continuous map, where S=L1∪L2 , L1={(x,y)∈R2|x=0,-1≤y≤1} , L2={(x,y)∈R2|sin(1/x),0≤x≤1} . It is showed that if f is pointwise chain recurrent, then if Fin(f) is connected, f is identify; if Fin(f) is disconnected, then f is turbulent while Fin(f1) or Fin(f2) is nondegenerate disconnected; f is not turbulent while Fin(f1)=L1 , Fin(f2)=a,a∈L2 and (L2-{a})∩P(f2)=φ." @default.
- W2576458567 created "2017-01-26" @default.
- W2576458567 creator A5059105862 @default.
- W2576458567 date "2017-01-01" @default.
- W2576458567 modified "2023-09-25" @default.
- W2576458567 title "Maps of the sin(1/x) Continuum with Every Point Chain Recurrent" @default.
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- W2576458567 doi "https://doi.org/10.12677/pm.2017.71006" @default.
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