Periods of continuous maps on some compact spaces

Juan Luis García Guirao; Jaume Llibre

doi:https://doi.org/10.1080/10236198.2017.1304932

Periods of continuous maps on some compact spaces

Juan Luis García Guirao, Jaume Llibre

Department of Mathematics

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

3 Citations (Scopus)

Abstract

© 2017 Informa UK Limited, trading as Taylor & Francis Group. The objective of this paper is to provide information on the set of periodic points of a continuous self-map defined in the following compact spaces: Sn (the n-dimensional sphere), Sn X Sm (the product space of the n-dimensional with the m-dimensional spheres), Cpn (the n-dimensional complex projective space) and Hpn (the n-dimensional quaternion projective space). We use as main tool the action of the map on the homology groups of these compact spaces.

Original language	English
Pages (from-to)	1-7
Journal	Journal of Difference Equations and Applications
Volume	23
Issue number	1-2
DOIs	https://doi.org/10.1080/10236198.2017.1304932
Publication status	Published - 1 Feb 2017

Keywords

Lefschetz fixed point theory
Periods
complex projective space
continuous map
periodic points
product of two spheres
quaternion projective space
sphere

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https://doi.org/10.1080/10236198.2017.1304932

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AU - Llibre, Jaume

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AB - © 2017 Informa UK Limited, trading as Taylor & Francis Group. The objective of this paper is to provide information on the set of periodic points of a continuous self-map defined in the following compact spaces: Sn (the n-dimensional sphere), Sn X Sm (the product space of the n-dimensional with the m-dimensional spheres), Cpn (the n-dimensional complex projective space) and Hpn (the n-dimensional quaternion projective space). We use as main tool the action of the map on the homology groups of these compact spaces.

KW - Lefschetz fixed point theory

KW - Periods

KW - complex projective space

KW - continuous map

KW - periodic points

KW - product of two spheres

KW - quaternion projective space

KW - sphere

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JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

SN - 1023-6198

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ER -

Periods of continuous maps on some compact spaces

Abstract

Keywords

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