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

1 Citation (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

Access to Document

https://doi.org/10.1080/10236198.2017.1304932

https://ddd.uab.cat/record/169489

Cite this

@article{0bc8f69032e547288f8df93084d4ea39,

title = "Periods of continuous maps on some compact spaces",

abstract = "{\textcopyright} 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.",

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

author = "Guirao, {Juan Luis Garc{\'i}a} and Jaume Llibre",

year = "2017",

month = feb,

day = "1",

doi = "https://doi.org/10.1080/10236198.2017.1304932",

language = "English",

volume = "23",

pages = "1--7",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

publisher = "Taylor and Francis Ltd.",

number = "1-2",

}

TY - JOUR

T1 - Periods of continuous maps on some compact spaces

AU - Guirao, Juan Luis García

AU - Llibre, Jaume

PY - 2017/2/1

Y1 - 2017/2/1

N2 - © 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.

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

U2 - https://doi.org/10.1080/10236198.2017.1304932

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

M3 - Article

VL - 23

SP - 1

EP - 7

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

SN - 1023-6198

IS - 1-2

ER -

Periods of continuous maps on some compact spaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this