Inverse Limits with Generalized Markov Interval Functions
Inverse Limits with Generalized Markov Interval Functions
复制标题
广义马尔可夫区间函数的反极限
DOI：
10.1007/s40840-015-0187-0
复制
发表时间：
2016
影响因子：
1.2
通讯作者：
Tjaša Lunder
中科院分区：
文献类型：
--
作者：
I. Banič;Tjaša Lunder
2002 年，S. Holte 引入了马尔可夫区间图。结果表明，任意两个具有相同模式的马尔可夫区间键合图的逆极限都是同胚的。在本文中，我们介绍了广义马尔可夫区间函数，它是马尔可夫区间映射到集值函数的推广，并证明具有相同模式的广义马尔可夫区间键合函数的任何两个广义逆极限都是同胚的。
In 2002 Markov interval maps were introduced by S. Holte. It was shown that any two inverse limits with Markov interval bonding maps with the same pattern were homeomorphic. In this article we introduce generalized Markov interval functions, which are a generalization of Markov interval maps to set-valued functions, and show that any two generalized inverse limits with generalized Markov interval bonding functions with the same pattern are homeomorphic.