Periods of continuous maps on closed surfaces

García Guirao, Juan Luis; Llibre i Saló, Jaume

doi:10.1216/RMJ-2017-47-4-1089

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Identificadores

URI: http://hdl.handle.net/10317/8563

URL: https://projecteuclid.org/eucl ...

ISSN: 0035-7596

DOI: 10.1216/RMJ-2017-47-4-1089

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Área de conocimiento

Matemática Aplicada

Patrocinadores

The first author of this work was partially supported by MICINN/FEDER grant number MTM2011–22587, Junta de Comunidades de Castilla-La Mancha, grant number PEII09-0220-0222. The second author was partially supported by MICINN/FEDER grant number MTM2008-03437, AGAUR grant number 2014SGR 568, ICREA Academia, FP7-PEOPLE-2012-IRSES numbers 316338 and 318999, and FEDER-UNAB10-4E-378.

Fecha de publicación

2017

Editorial

Rocky Mountain Mathematics Consortium

Cita bibliográfica

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

Palabras clave

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

Resumen

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

Colecciones

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