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For two $r$-modal interval maps, which are non-monotone and continuous but not piecewise expanding with $H\geq 1$, we give a sufficient and necessary condition under which they are topologically conjugate, and use an extension method to construct all topological conjugacies between them.

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scumat(½ð±Ò+2, ·­ÒëEPI+1): ллÄúµÄ°ïÖú£¡ 2011-09-16 13:32:47
°®ÓëÓêÏÂ(½ð±Ò+1): ~! 2011-09-16 13:42:53
The two $r$-modal interval maps are non-montone and continuous, not piecewise expanding with $H\geq 1$. By using an extension method, the two interval maps can be constructed into topological conjugacies under specified conditions.
There_Can_Be_Miracles_When_You_Believe
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