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Proceedings of the American Mathematical Society

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Periodicity and indecomposability

Author: W. T. Ingram
Journal: Proc. Amer. Math. Soc. 123 (1995), 1907-1916
MSC: Primary 58F08; Secondary 54H20, 58F03, 58F20
MathSciNet review: 1283553
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Abstract: In this paper we characterize the existence of periodic points of odd period greater than one for unimodal mappings of an interval onto itself. The interesting juxtaposition of this condition with the occurrence in inverse limits of the well-known Brouwer-Janiszewski-Knaster continuum is explored. Also obtained is a characterization of indecomposability of certain inverse limits using a single unimodal bonding map.

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Keywords: Periodic point, indecomposable continuum, unimodal mapping, inverse limit
Article copyright: © Copyright 1995 American Mathematical Society

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