On the set of points with a dense orbit-Reference-Cited by-同舟云学术

On the set of points with a dense orbit

Published:2000-05-18 Issue:11 Volume:128 Page:3421-3423
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bernardes Nilson

Abstract

Under certain conditions on the topological space X X we prove that for every continuous map f : X → X f : X \to X the set of all points with a dense orbit has empty interior in X X . This result implies a negative answer to two problems proposed by M. Barge and J. Kennedy.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-11/S0002-9939-00-05438-1/S0002-9939-00-05438-1.pdf

Reference2 articles.

1. [1] M. Barge and J. Kennedy, Continuum theory and topological dynamics. In Open Problems in Topology, J. van Mill and G. M. Reed, editors, pages 633–644. Elsevier Science Publishers B. V. (North-Holland), 1990.

2. The invariant subspace problem for a class of Banach spaces. II. Hypercyclic operators;Read, C. J.;Israel J. Math.,1988

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