摘要: |
证明了关于X的逆极限空间的转移映射具有下述结论:转移映射的强非游荡点集等于映射f的强非游荡点集的逆极限空间;f在测度中心上为非游荡点集,当且仅当转移映射的测度映射在其测度中心为非游荡点集;f在测度中心上为强非游荡点集,当且仅当转移映射的测度映射在其测度中心为强非游荡点集. |
关键词: 逆极限空间 转移映射 非游荡点 强非游荡点 测度中心 |
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Measurement of the Center of the Inverse Limit SpaceTransition Mapping None wandering Set |
HE Yi, ZHANG Jun, BAI Dan ying
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Abstract: |
Conclusions of transition mapping of the inverse limit space of X is proved as follow: (1) Strong none wandering set of transition mapping equals the inverse limit space of strong none wandering point set of mapping f. (2) f on the measure center is a non wandering point set, if and only if the measure mapping of transition mapping is non wandering point set on its measure center. f on the measure center is a strong non wandering point set, only if the measure mapping of transition mapping is strong non wandering point set on its measure center. |
Key words: inverse limit space transition mapping non wandering point strong non wandering point measure center |