A criterion for the existence of periodic points based on the eigenvalues of maps induced in cohomology

• Michalina Horecka ^[1] ; Paweł Raźny ^[1]
  1. [1] Jagiellonian University

     Jagiellonian University

     Kraków, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 2, 2022
• Idioma: inglés
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• Resumen

  • We present a criterion for the existence of periodic points based on the eigenvalues of maps induced in cohomology for spaces with rational cohomology isomorphic to a tensor product of a graded exterior algebra with generators in odd dimensions and a graded algebra with all elements of even degree. We give a number of natural examples of such spaces and provide some non-trivial ones. We also give a counterexample to a claim in [3] given there without proof.