Open Access
2017 Periods of continuous mapson closed surfaces
Juan Luis García Guirao, Jaume Llibre
Rocky Mountain J. Math. 47(4): 1089-1096 (2017). DOI: 10.1216/RMJ-2017-47-4-1089

Abstract

The objective of the present work is to present information on the set of periodic points of a continuous self-map on a closed surface which can be obtained using the action of this map on homological groups of the closed surface.

Citation

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Juan Luis García Guirao. Jaume Llibre. "Periods of continuous mapson closed surfaces." Rocky Mountain J. Math. 47 (4) 1089 - 1096, 2017. https://doi.org/10.1216/RMJ-2017-47-4-1089

Information

Published: 2017
First available in Project Euclid: 6 August 2017

zbMATH: 1379.37085
MathSciNet: MR3689946
Digital Object Identifier: 10.1216/RMJ-2017-47-4-1089

Subjects:
Primary: 37C05 , 37C25 , 37C30 , 58F20

Keywords: Closed surface , continuous self-map , Lefschetz fixed point theory , periodic point , Set of periods

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

Vol.47 • No. 4 • 2017
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