Shifts on zero-dimensional compact metric spaces

A. Gutek; S.P. Moshokoa; M. Rajagopalan

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Shifts on zero-dimensional compact metric spaces

机译：零维紧度量空间上的移位

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摘要

It is shown that every compact zero-dimensional metric space X with either no isolated points or infinitely many isolated points has a complex shift. If X is a disjoint union of a compact infinite scattered metric space and the Cantor set then X has a real shift also. If X is a disjoint union of a nonempty finite scattered metric space and the Cantor set then X has no shift.

机译：结果表明，每个没有孤立点或无限多个孤立点的紧凑零维度量空间X都有一个复杂的位移。如果X是紧致的无限分散度量空间的不相交并与Cantor集，则X也会发生实位移。如果X是非空有限分散度量空间的不相交联合，并且Cantor集，则X没有移位。

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来源
《Topology and its applications》 |2012年第16期|p.3513-3517|共5页
作者
A. Gutek; S.P. Moshokoa; M. Rajagopalan;
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作者单位

Tennessee Technological University, Cookeville, TN 38505, United States;

University of South Africa, PO Box 392, Pretoria (0003), South Africa;

Tennessee State University, Nashville, TN 37209, United States;

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原文格式 PDF
正文语种 eng
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关键词
shift; cantor set; primitive shift; scattered space;

机译：转移;康托集原始转变分散的空间;

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1. HENSTOCK-KURZWEIL TYPE INTEGRALS ON COMPACT ZERO-DIMENSIONAL METRIC SPACES AND SOME APPLICATIONS [J] . Valentin Skvortsov Real analysis exchange . 2007,第report期

机译：零维度量空间上的Henstock-Kurzweil型积分及其一些应用
2. Topological properties of function spaces C-k(X, 2) over zero-dimensional metric spaces X [J] . Gabriyelyan S. Topology and its applications . 2016,第auga15期

机译：零维度量空间X上函数空间C-k（X，2）的拓扑性质
3. Dynamical systems of finite-dimensional metric spaces and zero-dimensional covers [J] . Yuki Ikegami, Hisao Kato, Akihide Ueda Topology and its applications . 2013,第3期

机译：有限维度量空间和零维覆盖的动力学系统
4. Quantitative Coding and Complexity Theory of Compact Metric Spaces [C] . Donghyun Lim, Martin Ziegler Conference on Computability in Europe . 2020

机译：紧度量空间的定量编码和复杂性理论
5. Riemannian geometry of compact metric spaces. [D] . Palmer, Ian Christian. 2010

机译：紧凑度量空间的黎曼几何。
6. Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds [O] . Abhishek Bhattacharya, David B. Dunson -1

机译：具有特定歧管的紧凑型度量空间上的非参数贝叶斯密度估计的强稠度
7. Shifts on zero-dimensional compact metric spaces [O] . Gutek A., Moshokoa S.P., Rajagopalan M. 2012

机译：零维紧度量空间上的移位
8. Isomorphical Classification of Function Spaces of Zero Dimensional Locally Compact Separable Metric Spaces [R] . Baars, J. , de Groot, J. A. M. 1988

机译：零维局部紧致可分度量空间函数空间的同构分类

Shifts on zero-dimensional compact metric spaces

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