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Missouri University of Science and Technology
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Periodicity And Indecomposability, William Thomas Ingram
Periodicity And Indecomposability, William Thomas Ingram
Mathematics and Statistics Faculty Research & Creative Works
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.