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The Set of Periods for a Class of Crazy Maps

✍ Scribed by Antonio Falcó

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
143 KB
Volume
217
Category
Article
ISSN
0022-247X

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✦ Synopsis

The crazy maps are a class of continuous maps from ⌺ = ‫ޓ‬ 1 , where ⌺ is the

product space of the bi-infinite sequences on N symbols and ‫ޓ‬ 1 is the unit circle, into itself. Moreover, each of these maps has N orientation-preserving circle homeomorphisms associated with it. In this paper we study the set of periods in the case N s 2 and where the associated maps are rotations.

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