### Abstract

Let M be a compact C1 differentiable manifold such that its rational homology is Hj(M; Q) ≈ Q if j ∈ J ∪ {0}, and Hj(M; Q) ≈ {0} otherwise. Here J is a subset of the set of natural numbers N with cardinal 1, 2 or 3. A C1 map f : M → M is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) such that x is a fixed point of fm. We study the set of periods of f by using the Lefschetz numbers for periodic points.

Original language | English |
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Pages (from-to) | 397-406 |

Journal | Houston Journal of Mathematics |

Volume | 24 |

Issue number | 3 |

Publication status | Published - 1 Dec 1998 |

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## Cite this

Llibre, J., Paraños, J., & Rodríguez, J. A. (1998). Periods for transversal maps on compact manifolds with a given homology.

*Houston Journal of Mathematics*,*24*(3), 397-406.