Topological dynamics on hyperspaces

Topological dynamics on hyperspaces

In this paper we wish to relate the dynamics of the base map to the dynamics of the induced map. In the process, we obtain conditions on the endowed hyperspace topology under which the chaotic behaviour of the map on the base space is inherited by the induced map on the hyperspace. Several of the kn...

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Bibliographic Details
Main Authors: Puneet Sharma, Anima Nagar
Format: Article
Language:English
Published: Universitat Politècnica de València 2010-04-01
Series:Applied General Topology
Subjects:
Hyperspace
Hit and miss topology
Hit and far-miss topology
Induced map
Transitivity
Mixing
Horseshoe
Equicontinuity
Scrambled set
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1724

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1724

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