Home > Articles > Published articles > Periods of continuous maps on some compact spaces |
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 |
Postprint 7 p, 400.5 KB |