MARKOV-LIKE SET-VALUED FUNCTIONS ON INTERVALS AND THEIR INVERSE LIMITS

被引:0
|
作者
Imamura, Hayato [1 ]
机构
[1] Waseda Univ, Fac Sci & Engn, Shinkuju Ku, 3-4-1 Ohkubo, Tokyo 1698555, Japan
关键词
Inverse limits; upper semi-continuous functions; Markov maps; Markov-like functions; TOPOLOGICAL-ENTROPY; SHIFT MAPS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce Markov-like functions on intervals as a generalization of generalized Markov interval functions and define the notation of the same pattern between Markov-like functions. Then we show that two generalized inverse limits with Markov-like bonding functions having the same pattern are homeomorphic. This result gives a generalization of the results of S. Holte ([9]) and I. Banic and T. Lunder ([5]).
引用
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页码:385 / 401
页数:17
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