Topological dynamics on hyperspaces | Zendy

Puneet Sharma | Zendy; Anima Nagar | Zendy

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Topological dynamics on hyperspaces

Author(s) -

Puneet Sharma,

Anima Nagar

Publication year - 2010

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2010.1724

Subject(s) - hyperspace , mathematics , base (topology) , chaotic , topology (electrical circuits) , metric (unit) , metric space , dynamics (music) , space (punctuation) , similarity (geometry) , process (computing) , pure mathematics , mathematical analysis , computer science , artificial intelligence , combinatorics , physics , operations management , acoustics , operating system , economics , image (mathematics)

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 known results come up as corollaries to our results. We also discuss some metric related dynamical properties on the hyperspace that cannot be deduced for the base dynamics

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