Periods of continuous maps on closed surfaces

Juan Luis García Guirao; Jaume Llibre

doi:https://doi.org/10.1216/RMJ-2017-47-4-1089

Periods of continuous maps on closed surfaces

Juan Luis García Guirao, Jaume Llibre

Department of Mathematics

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

Abstract

© 2017 Rocky Mountain Mathematics Consortium. 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.

Original language	English
Pages (from-to)	1089-1096
Journal	Rocky Mountain Journal of Mathematics
Volume	47
Issue number	4
DOIs	https://doi.org/10.1216/RMJ-2017-47-4-1089
Publication status	Published - 1 Jan 2017

Keywords

Closed surface
Continuous self-map
Lefschetz fixed point theory
Periodic point
Set of periods

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https://doi.org/10.1216/RMJ-2017-47-4-1089

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KW - Closed surface

KW - Continuous self-map

KW - Lefschetz fixed point theory

KW - Periodic point

KW - Set of periods

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