Linear Orderings and the Full Periodicity Kernel for the n-Star

Lluîs Alsedà; José Miguel Moreno

doi:https://doi.org/10.1006/jmaa.1993.1419

Linear Orderings and the Full Periodicity Kernel for the n-Star

Lluîs Alsedà, José Miguel Moreno

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

11 Citations (Scopus)

Abstract

We show that Baldwin′s characterization of the set of periods of continuous self maps of the n-star can be expressed in terms of a finite number of linear orderings. Additionally we study the minimal sets of periods which force a continuous self map of the n-star to have periodic points of all periods. © 1993 Academic Press, Inc.

Original language	English
Pages (from-to)	599-616
Journal	Journal of Mathematical Analysis and Applications
Volume	180
DOIs	https://doi.org/10.1006/jmaa.1993.1419
Publication status	Published - 1 Jan 1993

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abstract = "We show that Baldwin′s characterization of the set of periods of continuous self maps of the n-star can be expressed in terms of a finite number of linear orderings. Additionally we study the minimal sets of periods which force a continuous self map of the n-star to have periodic points of all periods. {\textcopyright} 1993 Academic Press, Inc.",

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N2 - We show that Baldwin′s characterization of the set of periods of continuous self maps of the n-star can be expressed in terms of a finite number of linear orderings. Additionally we study the minimal sets of periods which force a continuous self map of the n-star to have periodic points of all periods. © 1993 Academic Press, Inc.

AB - We show that Baldwin′s characterization of the set of periods of continuous self maps of the n-star can be expressed in terms of a finite number of linear orderings. Additionally we study the minimal sets of periods which force a continuous self map of the n-star to have periodic points of all periods. © 1993 Academic Press, Inc.

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DO - https://doi.org/10.1006/jmaa.1993.1419

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JO - Journal of Mathematical Analysis and Applications

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