逆极限空间转移映射非游荡集的中心测度

Measurement of the Center of the Inverse Limit Space Transition Mapping None-wandering Set

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.

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.