NDLI: Sensitivity and regionally proximal relation in minimal systems

Content Provider	Springer Nature Link
Author	Shao, Song Ye, XiangDong Zhang, RuiFeng
Copyright Year	2008
Abstract	A topological dynamical system is n-sensitive, if there is a positive constant such that in each non-empty open subset there are n distinct points whose iterates will be apart from the constant at least for a same moment. The properties of n-sensitivity in minimal systems are investigated. It turns out that a minimal system is n-sensitive if and only if the n-th regionally proximal relation Q $_{ n }$ contains a point whose coordinates are pairwise distinct. Moreover, the structure of a minimal system which is n-sensitive but not (n + 1)-sensitive (n ⩾ 2) is determined.
Starting Page	987
Ending Page	994
Page Count	8
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	51
Issue Number	6
e-ISSN	18622763
Language	English
Publisher	SP Science in China Press
Publisher Date	2008-06-03
Publisher Place	Heidelberg
Access Restriction	Subscribed
Subject Keyword	sensitivity n-sensitivity regionally proximal relation minimality Transformations and group actions with special properties Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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