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Article

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Published version

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1992

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/132427

Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy

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https://doi.org/10.5565/PUBLMAT_362A92_11

Abstract

The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rational function P/Q. According to the parity of the degrees of the polinomials P and Q, we analize when the set of periodic points of f is infinite and when the topological entropy is positive.

Subject

Topologia

Subject (English)

Topology

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

CASASAYAS, Josefina, LLIBRE, Jaume and NUNES, Ana. Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy. Publicacions Matemàtiques. 1992. Vol. 36, num. 2, pags. 467-472. ISSN 0214-1493. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/132427

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