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Statistics and Probability

1995

Indecomposable continuum

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Periodicity And Indecomposability, William Thomas Ingram Jan 1995

Periodicity And Indecomposability, William Thomas Ingram

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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. © 1995 American Mathematical Society.