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Pàgina inicial > Articles > Articles publicats > Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres |
Data: | 2013 |
Resum: | Let (X, f) be a topological dynamical system. We say that it is partially periodic point free up to period n, if f does not have periodic points of periods smaller than n + 1. When X is a compact connected surface, a connected compact graph, or S2m ∨ Sm ∨ · · · ∨ Sm, we give conditions on X, so that there exist partially periodic point free maps up to period n. We also introduce the notion of a Lefschetz partially periodic point free map up period n. This is a weaker concept than partially periodic point free up period n. We characterize the Lefschetz partially periodic point free self-maps for the manifolds Sn×k· · · ×Sn, Sn × Sm with n ̸= m, CPn, HPn and OPn. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Periodic point ; Lefschetz number ; Connected compact graph ; Connected compact surface ; Orientable surface ; Non-orientable surface |
Publicat a: | Journal of Difference Equations and Applications, Vol. 19 Núm. 10 (2013) , p. 1654-1662, ISSN 1563-5120 |
Postprint 10 p, 2.3 MB |