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 |
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Pages (from-to) | 1-7 |
Journal | Journal of Difference Equations and Applications |
Volume | 23 |
Issue number | 1-2 |
DOIs | |
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