Specification Property for Topological Spaces

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• 作者：Sejal Shah ; Ruchi Das ; Tarun Das
• 刊名：Journal of Dynamical and Control Systems
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：22
• 期：4
• 页码：615-622
• 全文大小：180 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Calculus of Variations and Optimal Control
  Analysis
  Applications of Mathematics
  Systems Theory and Control
  
• 出版者：Springer Netherlands
• ISSN：1573-8698
• 卷排序：22

文摘

We introduce and study here the notion of specification property termed as topological specification property for homeomorphisms on non-compact non-metrizable spaces. We prove that if a self homeomorphism on a totally bounded uniform space is mixing, topologically expansive and topologically shadowing then the map has topological specification property.KeywordsUniform spaceShadowingExpansivitySpecification