Periodic structure of transversal maps on sum-free products of spheres

In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infini...

Descripción completa

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Sirvent, Víctor F.
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:228111
Acceso en línea:https://ddd.uab.cat/record/228111
https://dx.doi.org/urn:doi:10.1080/10236198.2019.1606216
Access Level:acceso abierto
Palabra clave:Transversal maps
Lefschetz numbers
Periodic point
Product of spheres
Descripción
Sumario:In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infinitely many m's. We generalize the results for transversal maps on rational exterior spaces of rank 1.