Rocky Mountain Journal of Mathematics

Periods of continuous mapson closed surfaces

Juan Luis García Guirao and Jaume Llibre

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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.

Article information

Source
Rocky Mountain J. Math., Volume 47, Number 4 (2017), 1089-1096.

Dates
First available in Project Euclid: 6 August 2017

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1501984941

Digital Object Identifier
doi:10.1216/RMJ-2017-47-4-1089

Mathematical Reviews number (MathSciNet)
MR3689946

Zentralblatt MATH identifier
1379.37085

Subjects
Primary: 37C05: Smooth mappings and diffeomorphisms 37C25: Fixed points, periodic points, fixed-point index theory 37C30: Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 58F20

Keywords
Closed surface continuous self-map Lefschetz fixed point theory periodic point set of periods

Citation

Guirao, Juan Luis García; Llibre, Jaume. Periods of continuous mapson closed surfaces. Rocky Mountain J. Math. 47 (2017), no. 4, 1089--1096. doi:10.1216/RMJ-2017-47-4-1089. https://projecteuclid.org/euclid.rmjm/1501984941


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