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The limit sets of dynamical systems on spheres

✍ Scribed by Jann-Long Chern; Sze-Guang Yang


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
452 KB
Volume
26
Category
Article
ISSN
0362-546X

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Let T be a tree and f n be a sequence of continuous maps from T to T which converges uniformly to a continuous map f . In this note we show that if every periodic point of f is a fixed point, then for every x ∈ T , Ο‰(x, f n ), Ο‰-limit set of x under (T, f n ), is a closed connected subset of T and e