Markov set-valued functions and their inverse limits
Markov set-valued functions and their inverse limits
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马尔可夫集值函数及其反极限
DOI：
10.1016/j.topol.2018.03.035
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发表时间：
2018
影响因子：
0.6
通讯作者：
James P. Kelly
中科院分区：
文献类型：
--
作者：
Lori Alvin;James P. Kelly
本文引入了马氏集值函数的定义，证明了两个相似马氏集值函数的逆极限是同胚的。这推广了S.霍尔特岛巴尼奥湾Črepnjak和T.伦德我们提出的定义不同于以前的马尔可夫区间函数的定义，因为我们允许马尔可夫划分之外的点具有非退化图像。此外，我们的定义集中在我们的函数的逆的结构;我们要求逆是一个连续映射的并集，并对域、范围和交点有特定的限制。
In this paper we introduce the definition of a Markov set-valued function and show that the inverse limits of two similar Markov set-valued functions are homeomorphic. This generalizes results of S. Holte, I. Banič, M. Črepnjak, and T. Lunder. The definition we present differs from previous definitions of Markov interval functions in that we allow for points outside of the Markov partition to have non-degenerate images. Additionally, our definition focuses on the structure of the inverse of our function; we require that the inverse is a union of continuous mappings with specified restrictions on the domains, ranges, and points of intersection.