Open AccessLifting Dynamical Properties to Hyperspaces
Author(s) -
Dania Masood,
Pooja Singh
Publication year - 2014
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2014.1841
Subject(s) - hyperspace , mathematics , mixing (physics) , transitive relation , topological conjugacy , pure mathematics , conjugacy class , dynamical systems theory , suspension (topology) , topology (electrical circuits) , combinatorics , physics , homotopy , quantum mechanics
For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X consisting of nonempty closed connected subsets of X, and also to the hyperspace suspension HS(X) of X, have been considered and studied