Periods of continuous maps on closed surfaces
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Knowledge AreaMatemática Aplicada
SponsorsThe 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.
PublisherRocky Mountain Mathematics Consortium
Bibliographic CitationGuirao, 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
Lefschetz fixed point theory
Set of periods
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.
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