On the Lefschetz periodic point free continuous self-maps on connected compact manifolds

We characterize the Lefschetz periodic point free self-continuous maps on the following connected compact manifolds: CPn the n-dimensional complex projective space, HPn the n-dimensional quaternion projective space, Sn the n-dimensional sphere and Sp ×Sq the product space of the p-dimensional with t...

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Detalles Bibliográficos
Autores: Guirao, Juan Luis Garcia|||0000-0003-2788-809X, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150415
Acceso en línea:https://ddd.uab.cat/record/150415
https://dx.doi.org/urn:doi:10.1016/j.topol.2011.07.007
Access Level:acceso abierto
Palabra clave:Periodic point free
Lefschetz zeta function
Lefschetz number
Complex projective space
Quaternion projective space
Sphere
Product of spheres
Descripción
Sumario:We characterize the Lefschetz periodic point free self-continuous maps on the following connected compact manifolds: CPn the n-dimensional complex projective space, HPn the n-dimensional quaternion projective space, Sn the n-dimensional sphere and Sp ×Sq the product space of the p-dimensional with the q-dimensional spheres.