Electronic Resource
Oxford, UK
:
Blackwell Publishing Ltd
Annals of the New York Academy of Sciences
806 (1996), S. 0
ISSN:
1749-6632
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Natural Sciences in General
Notes:
We present five examples illustrating that results well known for discrete dynamical systems on (locally) compact metric spaces and continuous functions can fail if either (local) compactness or metrizable is removed. Some samples are: A homeomorphism h from the space ℙ of irrationals to itself such that [ℙ; h] has each point recurrent, but [ℙ; h] has no minimal sets. Commuting homeomorphisms f and g from a compact space X to itself such that [X; f] and [X; g] have no common recurrent points.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1749-6632.1996.tb49178.x
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