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The Set of Periods for Crazy Maps

✍ Scribed by Fan Qinjie

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
83 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

This paper deals with the periods of the crazy maps which are a class of continuous maps from Ý = S 1 , where Ý is the product space of the bi-infinite

sequences on N symbols and S 1 is the unite circle, into itself. More precisely, we find necessary and sufficient conditions for the existence of the periodic points of crazy maps. Moreover, the set of periods for the crazy maps associated with two rotations is described.

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