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Periodic structure of transversal maps on sum-free products of spheres
Authors:Jaume Llibre
Affiliation:Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain
Abstract:In this article, we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular, we give sufficient conditions in order that such maps have infinitely many even and odd periods. Moreover, we also provide sufficient conditions for having non-zero Lefschetz numbers of period m for infinitely many m's. We extend these results to transversal maps on rational exterior spaces of rank 1.
Keywords:Transversal maps  Lefschetz numbers  periodic point  product of spheres
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