## Abstract

© 2016, Akademie ved Ceske Republiky. All rights reserved. Let X be a connected closed manifold and f a self-map on X. We say that f is almost quasi-unipotent if every eigenvalue λ of the map f*k (the induced map on the k-th homology group of X) which is neither a root of unity, nor a zero, satisfies that the sum of the multiplicities of λ as eigenvalue of all the maps f*k with k odd is equal to the sum of the multiplicities of λ as eigenvalue of all the maps f*k with k even. We prove that if f is C1 having finitely many periodic points all of them hyperbolic, then f is almost quasi-unipotent.

Original language | English |
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Pages (from-to) | 83-90 |

Journal | Mathematica Bohemica |

Volume | 141 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2016 |

## Keywords

- Almost quasi-unipotent map
- Differentiable map
- Hyperbolic periodic point
- Lefschetz number
- Lefschetz zeta function
- Quasi-unipotent map

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