Periods of continuous maps on some compact spaces
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	The objective of this paper is to provide information on the set of periodic points of a continuous self--map defined in the following compact spaces: S^n (the n--dimensional sphere), S^n S^m (the product space of the n--dimensional with the m--dimensional spheres), CP^n (the n--dimensional complex projective space) and HP^n (the n--dimensional quaternion projective space). We use as main tool the action of the map on the homology groups of these compact spaces.
Grants:	Ministerio de Economía y Competitividad MTM2014-51891-P Ministerio de Economía y Competitividad MTM2013-40998-P
Note:	Agraïments/Ajudes: Fundación Séneca de la Región de Murcia grant number 19219/PI/14. The second author is AGAUR grant number 2014SGR-568, and the grants FP7-PEOPLE-2012-IRSES 318999 and 316338.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Complex projective space ; Continuous map ; Lefschetz fixed point theory ; Periodic point ; Periods ; Product of two spheres ; Quaternion projective space ; Sphere
Published in:	Houston Journal of Mathematics, Vol. 42 Núm. 3 (2016) , p. 1047-1058, ISSN 0362-1588

DOI: 10.1080/10236198.2017.1304932

Postprint 7 p, 400.5 KB

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